13013636160 has 448 divisors, whose sum is σ = 48850905600. Its totient is φ = 2873425920.

The previous prime is 13013636137. The next prime is 13013636173. The reversal of 13013636160 is 6163631031.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13013636160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41052322 + ... + 41052638.

It is an arithmetic number, because the mean of its divisors is an integer number (109042200).

Almost surely, 2^13013636160 is an apocalyptic number.

13013636160 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 13013636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24425452800).

13013636160 is an abundant number, since it is smaller than the sum of its proper divisors (35837269440).

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

13013636160 is a wasteful number, since it uses less digits than its factorization.

13013636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 13013636160 in words is "thirteen billion, thirteen million, six hundred thirty-six thousand, one hundred sixty".