213313231131000 has 2048 divisors, whose sum is σ = 939103372247040. Its totient is φ = 38882737152000.

The previous prime is 213313231130959. The next prime is 213313231131031. The reversal of 213313231131000 is 131132313312.

It is a super-2 number, since 2×213313231131000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4777750677 + ... + 4777795323.

It is an arithmetic number, because the mean of its divisors is an integer number (458546568480).

Almost surely, 2^{213313231131000} is an apocalyptic number.

213313231131000 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 213313231131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469551686123520).

213313231131000 is an abundant number, since it is smaller than the sum of its proper divisors (725790141116040).

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

213313231131000 is a wasteful number, since it uses less digits than its factorization.

213313231131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44782 (or 44768 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 213313231131000 its reverse (131132313312), we get a palindrome (213444363444312).

The spelling of 213313231131000 in words is "two hundred thirteen trillion, three hundred thirteen billion, two hundred thirty-one million, one hundred thirty-one thousand".