10100000000013 has 64 divisors (see below), whose sum is σ = 16862361753600. Its totient is φ = 5224026470400.

The previous prime is 10099999999997. The next prime is 10100000000021. The reversal of 10100000000013 is 31000000000101.

It is not a de Polignac number, because 10100000000013 - 2⁴ = 10099999999997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000000053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384061081 + ... + 384087377.

It is an arithmetic number, because the mean of its divisors is an integer number (263474402400).

Almost surely, 2^{10100000000013} is an apocalyptic number.

It is an amenable number.

10100000000013 is a deficient number, since it is larger than the sum of its proper divisors (6762361753587).

10100000000013 is a wasteful number, since it uses less digits than its factorization.

10100000000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33458.

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 10100000000013 its reverse (31000000000101), we get a palindrome (41100000000114).

The spelling of 10100000000013 in words is "ten trillion, one hundred billion, thirteen", and thus it is an aban number.