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13121030130 = 2351343377699
BaseRepresentation
bin11000011100001001…
…10000011111110010
31020212102112101120220
430032010300133302
5203332440431010
610005553113510
7643102626105
oct141604603762
936772471526
1013121030130
11562353015a
122662258896
131311499770
148c687273c
1551bdac970
hex30e1307f2

13121030130 has 64 divisors (see below), whose sum is σ = 33991574400. Its totient is φ = 3222291456.

The previous prime is 13121030123. The next prime is 13121030137. The reversal of 13121030130 is 3103012131.

It is an interprime number because it is at equal distance from previous prime (13121030123) and next prime (13121030137).

It is a super-2 number, since 2×131210301302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13121030137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130021 + ... + 207719.

It is an arithmetic number, because the mean of its divisors is an integer number (531118350).

Almost surely, 213121030130 is an apocalyptic number.

13121030130 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 13121030130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16995787200).

13121030130 is an abundant number, since it is smaller than the sum of its proper divisors (20870544270).

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

13121030130 is a wasteful number, since it uses less digits than its factorization.

13121030130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78155.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13121030130 its reverse (3103012131), we get a palindrome (16224042261).

The spelling of 13121030130 in words is "thirteen billion, one hundred twenty-one million, thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 433 866 1299 2165 2598 4330 5629 6495 11258 12990 16887 28145 33774 56290 77699 84435 155398 168870 233097 388495 466194 776990 1010087 1165485 2020174 2330970 3030261 5050435 6060522 10100870 15151305 30302610 33643667 67287334 100931001 168218335 201862002 336436670 437367671 504655005 874735342 1009310010 1312103013 2186838355 2624206026 4373676710 6560515065 13121030130