313357001 has 2 divisors, whose sum is σ = 313357002. Its totient is φ = 313357000.

The previous prime is 313356961. The next prime is 313357007. The reversal of 313357001 is 100753313.

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., 313254601 + 102400 = 17699^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 313357001 - 2¹⁸ = 313094857 is a prime.

It is a super-2 number, since 2×313357001² = 196385220151428002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (313357007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156678500 + 156678501.

It is an arithmetic number, because the mean of its divisors is an integer number (156678501).

Almost surely, 2^313357001 is an apocalyptic number.

It is an amenable number.

313357001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313357001 is an equidigital number, since it uses as much as digits as its factorization.

313357001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 313357001 is about 17701.8925824331. The cubic root of 313357001 is about 679.2241735708.

The spelling of 313357001 in words is "three hundred thirteen million, three hundred fifty-seven thousand, one".