113310213132000 has 384 divisors, whose sum is σ = 390777570892800. Its totient is φ = 28623082752000.

The previous prime is 113310213131989. The next prime is 113310213132101. The reversal of 113310213132000 is 231312013311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3919533546 + ... + 3919562454.

It is an arithmetic number, because the mean of its divisors is an integer number (1017649924200).

Almost surely, 2^{113310213132000} is an apocalyptic number.

113310213132000 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 113310213132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195388785446400).

113310213132000 is an abundant number, since it is smaller than the sum of its proper divisors (277467357760800).

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

113310213132000 is a wasteful number, since it uses less digits than its factorization.

113310213132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46147 (or 46129 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113310213132000 its reverse (231312013311), we get a palindrome (113541525145311).

The spelling of 113310213132000 in words is "one hundred thirteen trillion, three hundred ten billion, two hundred thirteen million, one hundred thirty-two thousand".