2313313221137 has 2 divisors, whose sum is σ = 2313313221138. Its totient is φ = 2313313221136.

The previous prime is 2313313221127. The next prime is 2313313221211. The reversal of 2313313221137 is 7311223133132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2082606879376 + 230706341761 = 1443124^2 + 480319^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313313221137 - 2⁶ = 2313313221073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2313313221127) 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, 1156656610568 + 1156656610569.

It is an arithmetic number, because the mean of its divisors is an integer number (1156656610569).

Almost surely, 2^{2313313221137} is an apocalyptic number.

It is an amenable number.

2313313221137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313313221137 is an equidigital number, since it uses as much as digits as its factorization.

2313313221137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 32.

Adding to 2313313221137 its reverse (7311223133132), we get a palindrome (9624536354269).

The spelling of 2313313221137 in words is "two trillion, three hundred thirteen billion, three hundred thirteen million, two hundred twenty-one thousand, one hundred thirty-seven".