10120110013 has 16 divisors (see below), whose sum is σ = 11547007920. Its totient is φ = 8786543616.

The previous prime is 10120110001. The next prime is 10120110041. The reversal of 10120110013 is 31001102101.

It can be written as a sum of positive squares in 8 ways, for example, as 2365444 + 10117744569 = 1538^2 + 100587^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120110013 - 2²⁵ = 10086555581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120110043) 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, 355131 + ... + 382567.

It is an arithmetic number, because the mean of its divisors is an integer number (721687995).

Almost surely, 2^10120110013 is an apocalyptic number.

10120110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10120110013 is a deficient number, since it is larger than the sum of its proper divisors (1426897907).

10120110013 is a wasteful number, since it uses less digits than its factorization.

10120110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29136.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10120110013 its reverse (31001102101), we get a palindrome (41121212114).

The spelling of 10120110013 in words is "ten billion, one hundred twenty million, one hundred ten thousand, thirteen".