213131323131312 has 160 divisors (see below), whose sum is σ = 571506314897664. Its totient is φ = 68386840704000.

The previous prime is 213131323131301. The next prime is 213131323131367.

213131323131312 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213131323131312.

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, 233989887 + ... + 234898977.

Almost surely, 2^{213131323131312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213131323131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285753157448832).

213131323131312 is an abundant number, since it is smaller than the sum of its proper divisors (358374991766352).

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

213131323131312 is a wasteful number, since it uses less digits than its factorization.

213131323131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910547 (or 910541 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The spelling of 213131323131312 in words is "two hundred thirteen trillion, one hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-one thousand, three hundred twelve".