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13131211530 = 23573157181211
BaseRepresentation
bin11000011101010111…
…00110001100001010
31020220010200122211210
430032223212030022
5203343042232110
610010555233550
7643255312353
oct141653461412
936803618753
1013131211530
115629254638
1226657488b6
131313622a68
148c7d62d2a
1551cc1e520
hex30eae630a

13131211530 has 128 divisors (see below), whose sum is σ = 32480937216. Its totient is φ = 3396556800.

The previous prime is 13131211529. The next prime is 13131211531. The reversal of 13131211530 is 3511213131.

It is an interprime number because it is at equal distance from previous prime (13131211529) and next prime (13131211531).

It is a junction number, because it is equal to n+sod(n) for n = 13131211497 and 13131211506.

It is not an unprimeable number, because it can be changed into a prime (13131211531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62233125 + ... + 62233335.

It is an arithmetic number, because the mean of its divisors is an integer number (253757322).

Almost surely, 213131211530 is an apocalyptic number.

13131211530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131211530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240468608).

13131211530 is an abundant number, since it is smaller than the sum of its proper divisors (19349725686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131211530 is a wasteful number, since it uses less digits than its factorization.

13131211530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632.

The product of its (nonzero) digits is 270, while the sum is 21.

Adding to 13131211530 its reverse (3511213131), we get a palindrome (16642424661).

The spelling of 13131211530 in words is "thirteen billion, one hundred thirty-one million, two hundred eleven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 157 181 211 219 314 362 365 422 438 471 543 633 730 785 905 942 1055 1086 1095 1266 1570 1810 2110 2190 2355 2715 3165 4710 5430 6330 11461 13213 15403 22922 26426 28417 30806 33127 34383 38191 39639 46209 56834 57305 66065 66254 68766 76382 77015 79278 85251 92418 99381 114573 114610 132130 142085 154030 165635 170502 171915 190955 198195 198762 229146 231045 284170 331270 343830 381910 396390 426255 462090 496905 572865 852510 993810 1145730 2074441 2418271 2787943 4148882 4836542 5575886 5995987 6223323 7254813 8363829 10372205 11991974 12091355 12446646 13939715 14509626 16727658 17987961 20744410 24182710 27879430 29979935 31116615 35975922 36274065 41819145 59959870 62233230 72548130 83638290 89939805 179879610 437707051 875414102 1313121153 2188535255 2626242306 4377070510 6565605765 13131211530