113211413120 has 128 divisors (see below), whose sum is σ = 292166315280. Its totient is φ = 41700556800.

The previous prime is 113211413083. The next prime is 113211413167. The reversal of 113211413120 is 21314112311.

It can be written as a sum of positive squares in 8 ways, for example, as 964972096 + 112246441024 = 31064^2 + 335032^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113211413092 and 113211413101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3486560 + ... + 3518880.

Almost surely, 2^113211413120 is an apocalyptic number.

113211413120 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 113211413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146083157640).

113211413120 is an abundant number, since it is smaller than the sum of its proper divisors (178954902160).

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

113211413120 is a wasteful number, since it uses less digits than its factorization.

113211413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32774 (or 32762 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 113211413120 its reverse (21314112311), we get a palindrome (134525525431).

The spelling of 113211413120 in words is "one hundred thirteen billion, two hundred eleven million, four hundred thirteen thousand, one hundred twenty".