313000200361001 has 2 divisors, whose sum is σ = 313000200361002. Its totient is φ = 313000200361000.

The previous prime is 313000200360973. The next prime is 313000200361019. The reversal of 313000200361001 is 100163002000313.

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., 294043580994601 + 18956619366400 = 17147699^2 + 4353920^2 .

It is a cyclic number.

It is not a de Polignac number, because 313000200361001 - 2³⁸ = 312725322454057 is a prime.

It is not a weakly prime, because it can be changed into another prime (313000200361021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156500100180500 + 156500100180501.

It is an arithmetic number, because the mean of its divisors is an integer number (156500100180501).

Almost surely, 2^{313000200361001} is an apocalyptic number.

It is an amenable number.

313000200361001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313000200361001 is an equidigital number, since it uses as much as digits as its factorization.

313000200361001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 313000200361001 its reverse (100163002000313), we get a palindrome (413163202361314).

The spelling of 313000200361001 in words is "three hundred thirteen trillion, two hundred million, three hundred sixty-one thousand, one".