113112133002 has 192 divisors, whose sum is σ = 286254259200. Its totient is φ = 31918613760.

The previous prime is 113112132953. The next prime is 113112133031. The reversal of 113112133002 is 200331211311.

113112133002 is a `hidden beast` number, since 1 + 1 + 311 + 21 + 330 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115067803 + ... + 115068785.

It is an arithmetic number, because the mean of its divisors is an integer number (1490907600).

Almost surely, 2^113112133002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113112133002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143127129600).

113112133002 is an abundant number, since it is smaller than the sum of its proper divisors (173142126198).

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

113112133002 is a wasteful number, since it uses less digits than its factorization.

113112133002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1510 counting only the distinct ones).

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

Adding to 113112133002 its reverse (200331211311), we get a palindrome (313443344313).

The spelling of 113112133002 in words is "one hundred thirteen billion, one hundred twelve million, one hundred thirty-three thousand, two".