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13121331102 = 23411171812393
BaseRepresentation
bin11000011100001011…
…11001111110011110
31020212110002200110000
430032011321332132
5203333030043402
610010003355130
7643105321425
oct141605717636
936773080400
1013121331102
1156237162a0
122662382aa6
131311573759
148c69102bc
1551be1bc1c
hex30e179f9e

13121331102 has 160 divisors (see below), whose sum is σ = 34162992864. Its totient is φ = 3720038400.

The previous prime is 13121331101. The next prime is 13121331149. The reversal of 13121331102 is 20113312131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121331101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5482018 + ... + 5484410.

Almost surely, 213121331102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121331102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17081496432).

13121331102 is an abundant number, since it is smaller than the sum of its proper divisors (21041661762).

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

13121331102 is a wasteful number, since it uses less digits than its factorization.

13121331102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13121331102 its reverse (20113312131), we get a palindrome (33234643233).

The spelling of 13121331102 in words is "thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 181 187 198 297 306 362 374 459 543 561 594 891 918 1086 1122 1377 1629 1683 1782 1991 2393 2754 3077 3258 3366 3982 4786 4887 5049 5973 6154 7179 9231 9774 10098 11946 14358 14661 15147 17919 18462 21537 26323 27693 29322 30294 33847 35838 40681 43074 52646 53757 55386 64611 67694 78969 81362 83079 101541 107514 122043 129222 157938 161271 166158 193833 203082 236907 244086 249237 304623 322542 366129 387666 433133 447491 473814 498474 609246 710721 732258 866266 894982 913869 1098387 1299399 1342473 1421442 1827738 2132163 2196774 2598798 2684946 2741607 3295161 3898197 4027419 4264326 4764463 5483214 6590322 7363261 7796394 8054838 9528926 11694591 12082257 14293389 14726522 22089783 23389182 24164514 28586778 35083773 36246771 42880167 44179566 66269349 70167546 72493542 80995871 85760334 128640501 132538698 161991742 198808047 242987613 257281002 385921503 397616094 485975226 596424141 728962839 771843006 1192848282 1457925678 2186888517 4373777034 6560665551 13121331102