213131023000 has 128 divisors (see below), whose sum is σ = 603501425280. Its totient is φ = 68775014400.

The previous prime is 213131022971. The next prime is 213131023031. The reversal of 213131023000 is 320131312.

213131023000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 776509 + ... + 1014508.

It is an arithmetic number, because the mean of its divisors is an integer number (4714854885).

Almost surely, 2^213131023000 is an apocalyptic number.

213131023000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131023000 is an abundant number, since it is smaller than the sum of its proper divisors (390370402280).

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

213131023000 is a wasteful number, since it uses less digits than its factorization.

213131023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791062 (or 1791048 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 213131023000 its reverse (320131312), we get a palindrome (213451154312).

The spelling of 213131023000 in words is "two hundred thirteen billion, one hundred thirty-one million, twenty-three thousand".