213131132001000 has 192 divisors, whose sum is σ = 720446703912000. Its totient is φ = 56829960432000.

The previous prime is 213131132000959. The next prime is 213131132001013. The reversal of 213131132001000 is 100231131312.

213131132001000 is a `hidden beast` number, since 2 + 1 + 31 + 311 + 320 + 0 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101661351 + ... + 103736649.

It is an arithmetic number, because the mean of its divisors is an integer number (3752326582875).

Almost surely, 2^{213131132001000} is an apocalyptic number.

213131132001000 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 213131132001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360223351956000).

213131132001000 is an abundant number, since it is smaller than the sum of its proper divisors (507315571911000).

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

213131132001000 is a wasteful number, since it uses less digits than its factorization.

213131132001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086737 (or 2086720 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213131132001000 its reverse (100231131312), we get a palindrome (213231363132312).

The spelling of 213131132001000 in words is "two hundred thirteen trillion, one hundred thirty-one billion, one hundred thirty-two million, one thousand".