1000007000013 has 32 divisors (see below), whose sum is σ = 1573161779200. Its totient is φ = 552933838080.

The previous prime is 1000006999967. The next prime is 1000007000039. The reversal of 1000007000013 is 3100007000001.

It is a de Polignac number, because none of the positive numbers 2^k-1000007000013 is a prime.

It is the 1000004-th Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000007000053) by changing a digit.

It is a nontrivial repunit in base 1000003.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5699013 + ... + 5871861.

It is an arithmetic number, because the mean of its divisors is an integer number (49161305600).

Almost surely, 2^{1000007000013} is an apocalyptic number.

It is an amenable number.

1000007000013 is a deficient number, since it is larger than the sum of its proper divisors (573154779187).

1000007000013 is a wasteful number, since it uses less digits than its factorization.

1000007000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181777.

The product of its (nonzero) digits is 21, while the sum is 12.

Subtracting from 1000007000013 its sum of digits (12), we obtain a palindrome (1000007000001).

The spelling of 1000007000013 in words is "one trillion, seven million, thirteen", and thus it is an aban number and an uban number.