3213131230013 has 2 divisors, whose sum is σ = 3213131230014. Its totient is φ = 3213131230012.

The previous prime is 3213131229967. The next prime is 3213131230033. The reversal of 3213131230013 is 3100321313123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2173510364089 + 1039620865924 = 1474283^2 + 1019618^2 .

It is a cyclic number.

It is not a de Polignac number, because 3213131230013 - 2¹² = 3213131225917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3213131230033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1606565615006 + 1606565615007.

It is an arithmetic number, because the mean of its divisors is an integer number (1606565615007).

Almost surely, 2^{3213131230013} is an apocalyptic number.

It is an amenable number.

3213131230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3213131230013 is an equidigital number, since it uses as much as digits as its factorization.

3213131230013 is an evil number, because the sum of its binary digits is even.

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

Adding to 3213131230013 its reverse (3100321313123), we get a palindrome (6313452543136).

The spelling of 3213131230013 in words is "three trillion, two hundred thirteen billion, one hundred thirty-one million, two hundred thirty thousand, thirteen".