113000202112 has 64 divisors (see below), whose sum is σ = 257753910240. Its totient is φ = 48338933760.

The previous prime is 113000202101. The next prime is 113000202179. The reversal of 113000202112 is 211202000311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 113000202092 and 113000202101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368178 + ... + 601294.

Almost surely, 2^113000202112 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 113000202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128876955120).

113000202112 is an abundant number, since it is smaller than the sum of its proper divisors (144753708128).

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

113000202112 is an equidigital number, since it uses as much as digits as its factorization.

113000202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233679 (or 233667 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 113000202112 its reverse (211202000311), we get a palindrome (324202202423).

The spelling of 113000202112 in words is "one hundred thirteen billion, two hundred two thousand, one hundred twelve".