1000013000031 has 6 divisors (see below), whose sum is σ = 1444463222280. Its totient is φ = 666675333348.

The previous prime is 1000013000017. The next prime is 1000013000033. The reversal of 1000013000031 is 1300003100001.

It is not a de Polignac number, because 1000013000031 - 2⁶ = 1000012999967 is a prime.

It is a super-2 number, since 2×1000013000031² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111112555559 = 1000013000031 / (1 + 0 + 0 + 0 + 0 + 1 + 3 + 0 + 0 + 0 + 0 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 1000012999977 and 1000013000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000013000033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55556277771 + ... + 55556277788.

It is an arithmetic number, because the mean of its divisors is an integer number (240743870380).

Almost surely, 2^{1000013000031} is an apocalyptic number.

1000013000031 is a deficient number, since it is larger than the sum of its proper divisors (444450222249).

1000013000031 is a wasteful number, since it uses less digits than its factorization.

1000013000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111112555565 (or 111112555562 counting only the distinct ones).

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

Adding to 1000013000031 its reverse (1300003100001), we get a palindrome (2300016100032).

The spelling of 1000013000031 in words is "one trillion, thirteen million, thirty-one", and thus it is an aban number and an uban number.