213113131000 has 512 divisors, whose sum is σ = 638822246400. Its totient is φ = 64627200000.

The previous prime is 213113130977. The next prime is 213113131009. The reversal of 213113131000 is 131311312.

It is a super-2 number, since 2×213113131000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213113131009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 521058796 + ... + 521059204.

It is an arithmetic number, because the mean of its divisors is an integer number (1247699700).

Almost surely, 2^213113131000 is an apocalyptic number.

213113131000 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 213113131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319411123200).

213113131000 is an abundant number, since it is smaller than the sum of its proper divisors (425709115400).

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

213113131000 is a wasteful number, since it uses less digits than its factorization.

213113131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 213113131000 its reverse (131311312), we get a palindrome (213244442312).

It can be divided in two parts, 2131 and 13131000, that added together give a palindrome (13133131).

The spelling of 213113131000 in words is "two hundred thirteen billion, one hundred thirteen million, one hundred thirty-one thousand".