113210013020 has 192 divisors, whose sum is σ = 265321405440. Its totient is φ = 40318912512.

The previous prime is 113210013013. The next prime is 113210013031. The reversal of 113210013020 is 20310012311.

It is a junction number, because it is equal to n+sod(n) for n = 113210012986 and 113210013004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216462479 + ... + 216463001.

It is an arithmetic number, because the mean of its divisors is an integer number (1381882320).

Almost surely, 2^113210013020 is an apocalyptic number.

113210013020 is a gapful number since it is divisible by the number (10) 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 113210013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132660702720).

113210013020 is an abundant number, since it is smaller than the sum of its proper divisors (152111392420).

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

113210013020 is a wasteful number, since it uses less digits than its factorization.

113210013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 113210013020 its reverse (20310012311), we get a palindrome (133520025331).

The spelling of 113210013020 in words is "one hundred thirteen billion, two hundred ten million, thirteen thousand, twenty".