212133203131000 has 128 divisors (see below), whose sum is σ = 513603826444800. Its totient is φ = 81912121267200.

The previous prime is 212133203130997. The next prime is 212133203131027. The reversal of 212133203131000 is 131302331212.

It is a super-2 number, since 2×212133203131000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156417817 + ... + 157768183.

It is an arithmetic number, because the mean of its divisors is an integer number (4012529894100).

Almost surely, 2^{212133203131000} is an apocalyptic number.

212133203131000 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 212133203131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256801913222400).

212133203131000 is an abundant number, since it is smaller than the sum of its proper divisors (301470623313800).

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

212133203131000 is a wasteful number, since it uses less digits than its factorization.

212133203131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355834 (or 1355820 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 212133203131000 its reverse (131302331212), we get a palindrome (212264505462212).

The spelling of 212133203131000 in words is "two hundred twelve trillion, one hundred thirty-three billion, two hundred three million, one hundred thirty-one thousand".