113011032312 has 192 divisors, whose sum is σ = 323335022400. Its totient is φ = 35588044800.

The previous prime is 113011032307. The next prime is 113011032331. The reversal of 113011032312 is 213230110311.

113011032312 is a `hidden beast` number, since 11 + 301 + 10 + 32 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118584028 + ... + 118584980.

It is an arithmetic number, because the mean of its divisors is an integer number (1684036575).

Almost surely, 2^113011032312 is an apocalyptic number.

113011032312 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 113011032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161667511200).

113011032312 is an abundant number, since it is smaller than the sum of its proper divisors (210323990088).

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

113011032312 is a wasteful number, since it uses less digits than its factorization.

113011032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113011032312 its reverse (213230110311), we get a palindrome (326241142623).

The spelling of 113011032312 in words is "one hundred thirteen billion, eleven million, thirty-two thousand, three hundred twelve".