313000203001001 has 12 divisors (see below), whose sum is σ = 324873334972620. Its totient is φ = 301525483089600.

The previous prime is 313000203000973. The next prime is 313000203001007. The reversal of 313000203001001 is 100100302000313.

It can be written as a sum of positive squares in 6 ways, for example, as 214333230735376 + 98666972265625 = 14640124^2 + 9933125^2 .

It is not a de Polignac number, because 313000203001001 - 2⁶ = 313000203000937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313000203001007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1131714146 + ... + 1131990683.

It is an arithmetic number, because the mean of its divisors is an integer number (27072777914385).

Almost surely, 2^{313000203001001} is an apocalyptic number.

It is an amenable number.

313000203001001 is a deficient number, since it is larger than the sum of its proper divisors (11873131971619).

313000203001001 is a wasteful number, since it uses less digits than its factorization.

313000203001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263705004 (or 2263704967 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 313000203001001 its reverse (100100302000313), we get a palindrome (413100505001314).

The spelling of 313000203001001 in words is "three hundred thirteen trillion, two hundred three million, one thousand, one".