1313331201137 has 2 divisors, whose sum is σ = 1313331201138. Its totient is φ = 1313331201136.

The previous prime is 1313331201097. The next prime is 1313331201269. The reversal of 1313331201137 is 7311021333131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 825961062976 + 487370138161 = 908824^2 + 698119^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313331201137 - 2¹² = 1313331197041 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313331201037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656665600568 + 656665600569.

It is an arithmetic number, because the mean of its divisors is an integer number (656665600569).

Almost surely, 2^{1313331201137} is an apocalyptic number.

It is an amenable number.

1313331201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313331201137 is an equidigital number, since it uses as much as digits as its factorization.

1313331201137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 29.

Adding to 1313331201137 its reverse (7311021333131), we get a palindrome (8624352534268).

The spelling of 1313331201137 in words is "one trillion, three hundred thirteen billion, three hundred thirty-one million, two hundred one thousand, one hundred thirty-seven".