213130123313 has 16 divisors (see below), whose sum is σ = 224557462080. Its totient is φ = 202006249536.

The previous prime is 213130123307. The next prime is 213130123321. The reversal of 213130123313 is 313321031312.

213130123313 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 not a de Polignac number, because 213130123313 - 2²⁴ = 213113346097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213130123303) 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 15 ways as a sum of consecutive naturals, for example, 95906 + ... + 659892.

It is an arithmetic number, because the mean of its divisors is an integer number (14034841380).

Almost surely, 2^213130123313 is an apocalyptic number.

It is an amenable number.

213130123313 is a deficient number, since it is larger than the sum of its proper divisors (11427338767).

213130123313 is a wasteful number, since it uses less digits than its factorization.

213130123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564256.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 213130123313 its reverse (313321031312), we get a palindrome (526451154625).

The spelling of 213130123313 in words is "two hundred thirteen billion, one hundred thirty million, one hundred twenty-three thousand, three hundred thirteen".