313135001 has 2 divisors, whose sum is σ = 313135002. Its totient is φ = 313135000.

The previous prime is 313134989. The next prime is 313135003. The reversal of 313135001 is 100531313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177528976 + 135606025 = 13324^2 + 11645^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313135001 is a prime.

Together with 313135003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313135003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156567500 + 156567501.

It is an arithmetic number, because the mean of its divisors is an integer number (156567501).

Almost surely, 2^313135001 is an apocalyptic number.

It is an amenable number.

313135001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313135001 is an equidigital number, since it uses as much as digits as its factorization.

313135001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 313135001 is about 17695.6209554794. The cubic root of 313135001 is about 679.0637352752.

Adding to 313135001 its reverse (100531313), we get a palindrome (413666314).

It can be divided in two parts, 3 and 13135001, that multiplied together give a triangular number (39405003 = T₈₈₇₇).

The spelling of 313135001 in words is "three hundred thirteen million, one hundred thirty-five thousand, one".