213131010013 has 2 divisors, whose sum is σ = 213131010014. Its totient is φ = 213131010012.

The previous prime is 213131009947. The next prime is 213131010061. The reversal of 213131010013 is 310010131312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127008129924 + 86122880089 = 356382^2 + 293467^2 .

It is a cyclic number.

It is not a de Polignac number, because 213131010013 - 2²¹ = 213128912861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213131010613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106565505006 + 106565505007.

It is an arithmetic number, because the mean of its divisors is an integer number (106565505007).

Almost surely, 2^213131010013 is an apocalyptic number.

It is an amenable number.

213131010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213131010013 is an equidigital number, since it uses as much as digits as its factorization.

213131010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 213131010013 its reverse (310010131312), we get a palindrome (523141141325).

The spelling of 213131010013 in words is "two hundred thirteen billion, one hundred thirty-one million, ten thousand, thirteen".