13008131136 has 756 divisors, whose sum is σ = 51516806796. Its totient is φ = 3108188160.

The previous prime is 13008131053. The next prime is 13008131219. The reversal of 13008131136 is 63113180031.

It is an interprime number because it is at equal distance from previous prime (13008131053) and next prime (13008131219).

It can be written as a sum of positive squares in 2 ways, for example, as 7543964736 + 5464166400 = 86856^2 + 73920^2 .

It is a super-2 number, since 2×13008131136² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44396206 + ... + 44396498.

Almost surely, 2^13008131136 is an apocalyptic number.

13008131136 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 13008131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25758403398).

13008131136 is an abundant number, since it is smaller than the sum of its proper divisors (38508675660).

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

13008131136 is a wasteful number, since it uses less digits than its factorization.

13008131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13008131136 in words is "thirteen billion, eight million, one hundred thirty-one thousand, one hundred thirty-six".