113121312210 has 160 divisors (see below), whose sum is σ = 312891828480. Its totient is φ = 29310087168.

The previous prime is 113121312191. The next prime is 113121312211. The reversal of 113121312210 is 12213121311.

113121312210 is a `hidden beast` number, since 1 + 1 + 312 + 131 + 221 + 0 = 666.

It is a super-2 number, since 2×113121312210² (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 not an unprimeable number, because it can be changed into a prime (113121312211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5281042 + ... + 5302418.

It is an arithmetic number, because the mean of its divisors is an integer number (1955573928).

Almost surely, 2^113121312210 is an apocalyptic number.

113121312210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113121312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156445914240).

113121312210 is an abundant number, since it is smaller than the sum of its proper divisors (199770516270).

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

113121312210 is a wasteful number, since it uses less digits than its factorization.

113121312210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21582 (or 21573 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113121312210 its reverse (12213121311), we get a palindrome (125334433521).

The spelling of 113121312210 in words is "one hundred thirteen billion, one hundred twenty-one million, three hundred twelve thousand, two hundred ten".