10100013003113 has 16 divisors (see below), whose sum is σ = 11125431098496. Its totient is φ = 9092471629440.

The previous prime is 10100013003029. The next prime is 10100013003149. The reversal of 10100013003113 is 31130031000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100013003113 - 2⁸ = 10100013002857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100013003163) 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, 66699995 + ... + 66851247.

It is an arithmetic number, because the mean of its divisors is an integer number (695339443656).

Almost surely, 2^{10100013003113} is an apocalyptic number.

It is an amenable number.

10100013003113 is a deficient number, since it is larger than the sum of its proper divisors (1025418095383).

10100013003113 is a wasteful number, since it uses less digits than its factorization.

10100013003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210304.

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

Adding to 10100013003113 its reverse (31130031000101), we get a palindrome (41230044003214).

The spelling of 10100013003113 in words is "ten trillion, one hundred billion, thirteen million, three thousand, one hundred thirteen".