313100031001 has 2 divisors, whose sum is σ = 313100031002. Its totient is φ = 313100031000.

The previous prime is 313100030953. The next prime is 313100031017. The reversal of 313100031001 is 100130001313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258901862976 + 54198168025 = 508824^2 + 232805^2 .

It is a cyclic number.

It is not a de Polignac number, because 313100031001 - 2¹¹ = 313100028953 is a prime.

It is a super-2 number, since 2×313100031001² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313100031071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156550015500 + 156550015501.

It is an arithmetic number, because the mean of its divisors is an integer number (156550015501).

Almost surely, 2^313100031001 is an apocalyptic number.

It is an amenable number.

313100031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313100031001 is an equidigital number, since it uses as much as digits as its factorization.

313100031001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 313100031001 its reverse (100130001313), we get a palindrome (413230032314).

The spelling of 313100031001 in words is "three hundred thirteen billion, one hundred million, thirty-one thousand, one".