213132313313 has 4 divisors (see below), whose sum is σ = 213133240320. Its totient is φ = 213131386308.

The previous prime is 213132313309. The next prime is 213132313321. The reversal of 213132313313 is 313313231312.

213132313313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 213132313313 - 2² = 213132313309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213132315313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169856 + ... + 674622.

It is an arithmetic number, because the mean of its divisors is an integer number (53283310080).

Almost surely, 2^213132313313 is an apocalyptic number.

It is an amenable number.

213132313313 is a deficient number, since it is larger than the sum of its proper divisors (927007).

213132313313 is an equidigital number, since it uses as much as digits as its factorization.

213132313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927006.

The product of its digits is 2916, while the sum is 26.

Adding to 213132313313 its reverse (313313231312), we get a palindrome (526445544625).

The spelling of 213132313313 in words is "two hundred thirteen billion, one hundred thirty-two million, three hundred thirteen thousand, three hundred thirteen".