113013013000 has 64 divisors (see below), whose sum is σ = 269440207920. Its totient is φ = 44352256000.

The previous prime is 113013012989. The next prime is 113013013007. The reversal of 113013013000 is 310310311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26401700196 + 86611312804 = 162486^2 + 294298^2 .

It is a super-2 number, since 2×113013013000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113013013007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013161 + ... + 1119160.

Almost surely, 2^113013013000 is an apocalyptic number.

113013013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113013013000 is an abundant number, since it is smaller than the sum of its proper divisors (156427194920).

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

113013013000 is a wasteful number, since it uses less digits than its factorization.

113013013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132395 (or 2132381 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 113013013000 its reverse (310310311), we get a palindrome (113323323311).

The spelling of 113013013000 in words is "one hundred thirteen billion, thirteen million, thirteen thousand".