101331322311013 has 2 divisors, whose sum is σ = 101331322311014. Its totient is φ = 101331322311012.

The previous prime is 101331322310957. The next prime is 101331322311017. The reversal of 101331322311013 is 310113223133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92059285131009 + 9272037180004 = 9594753^2 + 3045002^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101331322311013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101331322311017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665661155506 + 50665661155507.

It is an arithmetic number, because the mean of its divisors is an integer number (50665661155507).

Almost surely, 2^{101331322311013} is an apocalyptic number.

It is an amenable number.

101331322311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331322311013 is an equidigital number, since it uses as much as digits as its factorization.

101331322311013 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 25.

Adding to 101331322311013 its reverse (310113223133101), we get a palindrome (411444545444114).

The spelling of 101331322311013 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred twenty-two million, three hundred eleven thousand, thirteen".