213431312100 has 72 divisors (see below), whose sum is σ = 618422203168. Its totient is φ = 56832595200.

The previous prime is 213431312009. The next prime is 213431312111. The reversal of 213431312100 is 1213134312.

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 23 ways as a sum of consecutive naturals, for example, 307489 + ... + 722088.

Almost surely, 2^213431312100 is an apocalyptic number.

213431312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213431312100 is an abundant number, since it is smaller than the sum of its proper divisors (404990891068).

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

213431312100 is a wasteful number, since it uses less digits than its factorization.

213431312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030285 (or 1030278 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213431312100 its reverse (1213134312), we get a palindrome (214644446412).

The spelling of 213431312100 in words is "two hundred thirteen billion, four hundred thirty-one million, three hundred twelve thousand, one hundred".