101231023332013 has 2 divisors, whose sum is σ = 101231023332014. Its totient is φ = 101231023332012.

The previous prime is 101231023331981. The next prime is 101231023332031. The reversal of 101231023332013 is 310233320132101.

Together with next prime (101231023332031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99744423507369 + 1486599824644 = 9987213^2 + 1219262^2 .

It is a cyclic number.

It is not a de Polignac number, because 101231023332013 - 2⁵ = 101231023331981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101231023332073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50615511666006 + 50615511666007.

It is an arithmetic number, because the mean of its divisors is an integer number (50615511666007).

Almost surely, 2^{101231023332013} is an apocalyptic number.

It is an amenable number.

101231023332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101231023332013 is an equidigital number, since it uses as much as digits as its factorization.

101231023332013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 101231023332013 its reverse (310233320132101), we get a palindrome (411464343464114).

The spelling of 101231023332013 in words is "one hundred one trillion, two hundred thirty-one billion, twenty-three million, three hundred thirty-two thousand, thirteen".