311333220021137 has 2 divisors, whose sum is σ = 311333220021138. Its totient is φ = 311333220021136.

The previous prime is 311333220021119. The next prime is 311333220021157. The reversal of 311333220021137 is 731120022333113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311332226762881 + 993258256 = 17644609^2 + 31516^2 .

It is a cyclic number.

It is not a de Polignac number, because 311333220021137 - 2¹² = 311333220017041 is a prime.

It is not a weakly prime, because it can be changed into another prime (311333220021157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155666610010568 + 155666610010569.

It is an arithmetic number, because the mean of its divisors is an integer number (155666610010569).

Almost surely, 2^{311333220021137} is an apocalyptic number.

It is an amenable number.

311333220021137 is a deficient number, since it is larger than the sum of its proper divisors (1).

311333220021137 is an equidigital number, since it uses as much as digits as its factorization.

311333220021137 is an evil number, because the sum of its binary digits is even.

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

The spelling of 311333220021137 in words is "three hundred eleven trillion, three hundred thirty-three billion, two hundred twenty million, twenty-one thousand, one hundred thirty-seven".