13100507136 has 168 divisors, whose sum is σ = 39251177784. Its totient is φ = 4366172160.

The previous prime is 13100507129. The next prime is 13100507137. The reversal of 13100507136 is 63170500131.

13100507136 is a `hidden beast` number, since 13 + 10 + 0 + 507 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100507137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1987366 + ... + 1993946.

It is an arithmetic number, because the mean of its divisors is an integer number (233637963).

Almost surely, 2^13100507136 is an apocalyptic number.

13100507136 is a gapful number since it is divisible by the number (16) 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 13100507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19625588892).

13100507136 is an abundant number, since it is smaller than the sum of its proper divisors (26150670648).

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

13100507136 is an frugal number, since it uses more digits than its factorization.

13100507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 13100507136 in words is "thirteen billion, one hundred million, five hundred seven thousand, one hundred thirty-six".