10120013013 has 16 divisors (see below), whose sum is σ = 14722344000. Its totient is φ = 6132372480.

The previous prime is 10120013003. The next prime is 10120013051. The reversal of 10120013013 is 31031002101.

10120013013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120013013 - 2⁸ = 10120012757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120013013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226663 + ... + 267611.

It is an arithmetic number, because the mean of its divisors is an integer number (920146500).

Almost surely, 2^10120013013 is an apocalyptic number.

It is an amenable number.

10120013013 is a deficient number, since it is larger than the sum of its proper divisors (4602330987).

10120013013 is a wasteful number, since it uses less digits than its factorization.

10120013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48452.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10120013013 its reverse (31031002101), we get a palindrome (41151015114).

The spelling of 10120013013 in words is "ten billion, one hundred twenty million, thirteen thousand, thirteen".