113013312000 has 320 divisors, whose sum is σ = 377541800064. Its totient is φ = 29992550400.

The previous prime is 113013311993. The next prime is 113013312001. The reversal of 113013312000 is 213310311.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (113013312001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43582704 + ... + 43585296.

Almost surely, 2^113013312000 is an apocalyptic number.

113013312000 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 113013312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188770900032).

113013312000 is an abundant number, since it is smaller than the sum of its proper divisors (264528488064).

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

113013312000 is an equidigital number, since it uses as much as digits as its factorization.

113013312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113013312000 its reverse (213310311), we get a palindrome (113226622311).

The spelling of 113013312000 in words is "one hundred thirteen billion, thirteen million, three hundred twelve thousand".