13102914560 has 264 divisors, whose sum is σ = 34660295280. Its totient is φ = 4736155648.

The previous prime is 13102914547. The next prime is 13102914571. The reversal of 13102914560 is 6541920131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73200551 + ... + 73200729.

Almost surely, 2^13102914560 is an apocalyptic number.

13102914560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17330147640).

13102914560 is an abundant number, since it is smaller than the sum of its proper divisors (21557380720).

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

13102914560 is a wasteful number, since it uses less digits than its factorization.

13102914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 13102914560 in words is "thirteen billion, one hundred two million, nine hundred fourteen thousand, five hundred sixty".