113121311010 has 128 divisors (see below), whose sum is σ = 291710744064. Its totient is φ = 28001064960.

The previous prime is 113121310979. The next prime is 113121311011. The reversal of 113121311010 is 10113121311.

It is a super-2 number, since 2×113121311010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (113121311011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10129830 + ... + 10140990.

It is an arithmetic number, because the mean of its divisors is an integer number (2278990188).

Almost surely, 2^113121311010 is an apocalyptic number.

113121311010 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 113121311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145855372032).

113121311010 is an abundant number, since it is smaller than the sum of its proper divisors (178589433054).

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

113121311010 is a wasteful number, since it uses less digits than its factorization.

113121311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11628.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 113121311010 its reverse (10113121311), we get a palindrome (123234432321).

The spelling of 113121311010 in words is "one hundred thirteen billion, one hundred twenty-one million, three hundred eleven thousand, ten".