1000101000013 has 32 divisors (see below), whose sum is σ = 1102789987200. Its totient is φ = 903087015936.

The previous prime is 1000101000001. The next prime is 1000101000023. The reversal of 1000101000013 is 3100001010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000101000013 - 2³⁷ = 862662046541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101000023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59207673 + ... + 59224561.

It is an arithmetic number, because the mean of its divisors is an integer number (34462187100).

Almost surely, 2^{1000101000013} is an apocalyptic number.

It is an amenable number.

1000101000013 is a deficient number, since it is larger than the sum of its proper divisors (102688987187).

1000101000013 is a wasteful number, since it uses less digits than its factorization.

1000101000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18381.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1000101000013 its reverse (3100001010001), we get a palindrome (4100102010014).

The spelling of 1000101000013 in words is "one trillion, one hundred one million, thirteen", and thus it is an aban number.