113313010301000 has 128 divisors (see below), whose sum is σ = 266227653744000. Its totient is φ = 45141745824000.

The previous prime is 113313010300951. The next prime is 113313010301143. The reversal of 113313010301000 is 103010313311.

It is a super-2 number, since 2×113313010301000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113313010301000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268500155 + ... + 268921845.

It is an arithmetic number, because the mean of its divisors is an integer number (2079903544875).

Almost surely, 2^{113313010301000} is an apocalyptic number.

113313010301000 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 113313010301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133113826872000).

113313010301000 is an abundant number, since it is smaller than the sum of its proper divisors (152914643443000).

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

113313010301000 is a wasteful number, since it uses less digits than its factorization.

113313010301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422800 (or 422786 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 113313010301000 its reverse (103010313311), we get a palindrome (113416020614311).

The spelling of 113313010301000 in words is "one hundred thirteen trillion, three hundred thirteen billion, ten million, three hundred one thousand".