213432101234312 has 64 divisors (see below), whose sum is σ = 403729479878400. Its totient is φ = 105775201047040.

The previous prime is 213432101234311. The next prime is 213432101234321.

213432101234312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213432101234312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213432101234311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3431960114 + ... + 3432022302.

It is an arithmetic number, because the mean of its divisors is an integer number (6308273123100).

Almost surely, 2^{213432101234312} is an apocalyptic number.

It is an amenable number.

213432101234312 is a deficient number, since it is larger than the sum of its proper divisors (190297378644088).

213432101234312 is a wasteful number, since it uses less digits than its factorization.

213432101234312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70766 (or 70762 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 21343210 and 1234312, that added together give a palindrome (22577522).

The spelling of 213432101234312 in words is "two hundred thirteen trillion, four hundred thirty-two billion, one hundred one million, two hundred thirty-four thousand, three hundred twelve".