10000001000313 has 28 divisors (see below), whose sum is σ = 15019401107568. Its totient is φ = 6654991632120.

The previous prime is 10000001000309. The next prime is 10000001000333. The reversal of 10000001000313 is 31300010000001.

It is not a de Polignac number, because 10000001000313 - 2² = 10000001000309 is a prime.

It is a super-2 number, since 2×10000001000313² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000001000295 and 10000001000304.

It is not an unprimeable number, because it can be changed into a prime (10000001000333) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11595495 + ... + 12428012.

Almost surely, 2^{10000001000313} is an apocalyptic number.

It is an amenable number.

10000001000313 is a deficient number, since it is larger than the sum of its proper divisors (5019400107255).

10000001000313 is an frugal number, since it uses more digits than its factorization.

10000001000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24024096 (or 24024081 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10000001000313 its reverse (31300010000001), we get a palindrome (41300011000314).

The spelling of 10000001000313 in words is "ten trillion, one million, three hundred thirteen", and thus it is an aban number.