101331210021313 has 2 divisors, whose sum is σ = 101331210021314. Its totient is φ = 101331210021312.

The previous prime is 101331210021257. The next prime is 101331210021329. The reversal of 101331210021313 is 313120012133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83912506782129 + 17418703239184 = 9160377^2 + 4173572^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331210021313 - 2²¹ = 101331207924161 is a prime.

It is not a weakly prime, because it can be changed into another prime (101331210021383) 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 as a sum of consecutive naturals, namely, 50665605010656 + 50665605010657.

It is an arithmetic number, because the mean of its divisors is an integer number (50665605010657).

Almost surely, 2^{101331210021313} is an apocalyptic number.

It is an amenable number.

101331210021313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331210021313 is an equidigital number, since it uses as much as digits as its factorization.

101331210021313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101331210021313 its reverse (313120012133101), we get a palindrome (414451222154414).

The spelling of 101331210021313 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred ten million, twenty-one thousand, three hundred thirteen".