213431344413520 has 40 divisors (see below), whose sum is σ = 500015874837600. Its totient is φ = 84720838999680.

The previous prime is 213431344413493. The next prime is 213431344413533. The reversal of 213431344413520 is 25314443134312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10182782670 + ... + 10182803629.

It is an arithmetic number, because the mean of its divisors is an integer number (12500396870940).

Almost surely, 2^{213431344413520} is an apocalyptic number.

213431344413520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213431344413520 is an abundant number, since it is smaller than the sum of its proper divisors (286584530424080).

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

213431344413520 is a wasteful number, since it uses less digits than its factorization.

213431344413520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20365586443 (or 20365586437 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 213431344413520 its reverse (25314443134312), we get a palindrome (238745787547832).

The spelling of 213431344413520 in words is "two hundred thirteen trillion, four hundred thirty-one billion, three hundred forty-four million, four hundred thirteen thousand, five hundred twenty".