313301311002001 has 16 divisors (see below), whose sum is σ = 360394610800896. Its totient is φ = 266793717064896.

The previous prime is 313301311001963. The next prime is 313301311002047. The reversal of 313301311002001 is 100200113103313.

It is a de Polignac number, because none of the positive numbers 2^k-313301311002001 is a prime.

It is a super-2 number, since 2×313301311002001² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313301311002001.

It is not an unprimeable number, because it can be changed into a prime (313301311002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69198426 + ... + 73586851.

It is an arithmetic number, because the mean of its divisors is an integer number (22524663175056).

Almost surely, 2^{313301311002001} is an apocalyptic number.

It is an amenable number.

313301311002001 is a deficient number, since it is larger than the sum of its proper divisors (47093299798895).

313301311002001 is a wasteful number, since it uses less digits than its factorization.

313301311002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142787328.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 313301311002001 its reverse (100200113103313), we get a palindrome (413501424105314).

The spelling of 313301311002001 in words is "three hundred thirteen trillion, three hundred one billion, three hundred eleven million, two thousand, one".