113013213012 has 120 divisors (see below), whose sum is σ = 340742814720. Its totient is φ = 31993185600.

The previous prime is 113013212999. The next prime is 113013213029. The reversal of 113013213012 is 210312310311.

113013213012 is a `hidden beast` number, since 1 + 1 + 301 + 321 + 30 + 12 = 666.

It is a super-2 number, since 2×113013213012² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 18637 + ... + 475787.

It is an arithmetic number, because the mean of its divisors is an integer number (2839523456).

Almost surely, 2^113013213012 is an apocalyptic number.

113013213012 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 113013213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170371407360).

113013213012 is an abundant number, since it is smaller than the sum of its proper divisors (227729601708).

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

113013213012 is a wasteful number, since it uses less digits than its factorization.

113013213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457283 (or 457272 counting only the distinct ones).

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

Adding to 113013213012 its reverse (210312310311), we get a palindrome (323325523323).

The spelling of 113013213012 in words is "one hundred thirteen billion, thirteen million, two hundred thirteen thousand, twelve".