113020313133000 has 512 divisors, whose sum is σ = 448963482240000. Its totient is φ = 23023765094400.

The previous prime is 113020313132999. The next prime is 113020313133031. The reversal of 113020313133000 is 331313020311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 779176 + ... + 15054824.

It is an arithmetic number, because the mean of its divisors is an integer number (876881801250).

Almost surely, 2^{113020313133000} is an apocalyptic number.

113020313133000 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 113020313133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224481741120000).

113020313133000 is an abundant number, since it is smaller than the sum of its proper divisors (335943169107000).

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

113020313133000 is a wasteful number, since it uses less digits than its factorization.

113020313133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14275722 (or 14275708 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 113020313133000 its reverse (331313020311), we get a palindrome (113351626153311).

The spelling of 113020313133000 in words is "one hundred thirteen trillion, twenty billion, three hundred thirteen million, one hundred thirty-three thousand".