231313312100 has 144 divisors (see below), whose sum is σ = 556828433616. Its totient is φ = 82861056000.

The previous prime is 231313312081. The next prime is 231313312129. The reversal of 231313312100 is 1213313132.

231313312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 221509539904 + 9803772196 = 470648^2 + 99014^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 9635312 + ... + 9659288.

Almost surely, 2^231313312100 is an apocalyptic number.

231313312100 is a gapful number since it is divisible by the number (20) 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 231313312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278414216808).

231313312100 is an abundant number, since it is smaller than the sum of its proper divisors (325515121516).

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

231313312100 is a wasteful number, since it uses less digits than its factorization.

231313312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24226 (or 24219 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 231313312100 its reverse (1213313132), we get a palindrome (232526625232).

The spelling of 231313312100 in words is "two hundred thirty-one billion, three hundred thirteen million, three hundred twelve thousand, one hundred".