13102812636160 has 1408 divisors, whose sum is σ = 39220651008000. Its totient is φ = 4148208599040.

The previous prime is 13102812636073. The next prime is 13102812636181. The reversal of 13102812636160 is 6163621820131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87938339766 + ... + 87938339914.

It is an arithmetic number, because the mean of its divisors is an integer number (27855576000).

Almost surely, 2^{13102812636160} is an apocalyptic number.

13102812636160 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 13102812636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19610325504000).

13102812636160 is an abundant number, since it is smaller than the sum of its proper divisors (26117838371840).

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

13102812636160 is a wasteful number, since it uses less digits than its factorization.

13102812636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 13102812636160 in words is "thirteen trillion, one hundred two billion, eight hundred twelve million, six hundred thirty-six thousand, one hundred sixty".