113031000312032 has 192 divisors, whose sum is σ = 265057374726144. Its totient is φ = 46867173335040.

The previous prime is 113031000312007. The next prime is 113031000312053. The reversal of 113031000312032 is 230213000130311.

It is a super-4 number, since 4×113031000312032⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113031000311995 and 113031000312013.

It is a congruent number.

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, 27017618 + ... + 30919470.

It is an arithmetic number, because the mean of its divisors is an integer number (1380507160032).

Almost surely, 2^{113031000312032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113031000312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132528687363072).

113031000312032 is an abundant number, since it is smaller than the sum of its proper divisors (152026374414112).

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

113031000312032 is a wasteful number, since it uses less digits than its factorization.

113031000312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902041 (or 3902033 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 113031000312032 its reverse (230213000130311), we get a palindrome (343244000442343).

The spelling of 113031000312032 in words is "one hundred thirteen trillion, thirty-one billion, three hundred twelve thousand, thirty-two".