213231363132312 has 144 divisors (see below), whose sum is σ = 671827377045240. Its totient is φ = 60919637974272.

The previous prime is 213231363132301. The next prime is 213231363132353.

213231363132312 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 1 + 3 + 631 + 3 + 2 + 3 + 12 = 666.

213231363132312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213231363132312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58063948 + ... + 61626980.

Almost surely, 2^{213231363132312} is an apocalyptic number.

It is an amenable number.

213231363132312 is an abundant number, since it is smaller than the sum of its proper divisors (458596013912928).

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

213231363132312 is a wasteful number, since it uses less digits than its factorization.

213231363132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580022 (or 3580008 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The spelling of 213231363132312 in words is "two hundred thirteen trillion, two hundred thirty-one billion, three hundred sixty-three million, one hundred thirty-two thousand, three hundred twelve".