113133112300032 has 160 divisors (see below), whose sum is σ = 328911049488384. Its totient is φ = 34270463692800.

The previous prime is 113133112299983. The next prime is 113133112300049. The reversal of 113133112300032 is 230003211331311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113133112299975 and 113133112300011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45957193 + ... + 48356279.

Almost surely, 2^{113133112300032} is an apocalyptic number.

113133112300032 is a gapful number since it is divisible by the number (12) 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 113133112300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164455524744192).

113133112300032 is an abundant number, since it is smaller than the sum of its proper divisors (215777937188352).

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

113133112300032 is a wasteful number, since it uses less digits than its factorization.

113133112300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401910 (or 2401894 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 113133112300032 its reverse (230003211331311), we get a palindrome (343136323631343).

The spelling of 113133112300032 in words is "one hundred thirteen trillion, one hundred thirty-three billion, one hundred twelve million, three hundred thousand, thirty-two".