213132101231312 has 20 divisors (see below), whose sum is σ = 412943677462596. Its totient is φ = 106565990918400.

The previous prime is 213132101231279. The next prime is 213132101231317.

213132101231312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 101560117911616 + 111571983319696 = 10077704^2 + 10562764^2 .

It is a super-2 number, since 2×213132101231312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132101231317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45048812 + ... + 49554612.

Almost surely, 2^{213132101231312} is an apocalyptic number.

It is an amenable number.

213132101231312 is a deficient number, since it is larger than the sum of its proper divisors (199811576231284).

213132101231312 is a wasteful number, since it uses less digits than its factorization.

213132101231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462166 (or 7462160 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 21313210 and 1231312, that added together give a palindrome (22544522).

The spelling of 213132101231312 in words is "two hundred thirteen trillion, one hundred thirty-two billion, one hundred one million, two hundred thirty-one thousand, three hundred twelve".