1000313100113 has 16 divisors (see below), whose sum is σ = 1024490218752. Its totient is φ = 976420704000.

The previous prime is 1000313100041. The next prime is 1000313100203. The reversal of 1000313100113 is 3110013130001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000313100113 - 2¹⁴ = 1000313083729 is a prime.

It is a super-2 number, since 2×1000313100113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000313100013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37143893 + ... + 37170813.

It is an arithmetic number, because the mean of its divisors is an integer number (64030638672).

Almost surely, 2^{1000313100113} is an apocalyptic number.

It is an amenable number.

1000313100113 is a deficient number, since it is larger than the sum of its proper divisors (24177118639).

1000313100113 is a wasteful number, since it uses less digits than its factorization.

1000313100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32176.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1000313100113 its reverse (3110013130001), we get a palindrome (4110326230114).

The spelling of 1000313100113 in words is "one trillion, three hundred thirteen million, one hundred thousand, one hundred thirteen".