213113003312311 has 16 divisors (see below), whose sum is σ = 213490146592800. Its totient is φ = 212736150355968.

The previous prime is 213113003312243. The next prime is 213113003312369. The reversal of 213113003312311 is 113213300311312.

213113003312311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213113003312311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213113003912311) 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, 28350801525 + ... + 28350809041.

It is an arithmetic number, because the mean of its divisors is an integer number (13343134162050).

Almost surely, 2^{213113003312311} is an apocalyptic number.

213113003312311 is a deficient number, since it is larger than the sum of its proper divisors (377143280489).

213113003312311 is an equidigital number, since it uses as much as digits as its factorization.

213113003312311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20658.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 213113003312311 its reverse (113213300311312), we get a palindrome (326326303623623).

The spelling of 213113003312311 in words is "two hundred thirteen trillion, one hundred thirteen billion, three million, three hundred twelve thousand, three hundred eleven".