10123133113013 has 4 divisors (see below), whose sum is σ = 10124106595200. Its totient is φ = 10122159630828.

The previous prime is 10123133112907. The next prime is 10123133113063. The reversal of 10123133113013 is 31031133132101.

10123133113013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10123133113013 - 2¹⁸ = 10123132850869 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10123133113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123133113063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 486725495 + ... + 486746292.

It is an arithmetic number, because the mean of its divisors is an integer number (2531026648800).

Almost surely, 2^{10123133113013} is an apocalyptic number.

It is an amenable number.

10123133113013 is a deficient number, since it is larger than the sum of its proper divisors (973482187).

10123133113013 is an equidigital number, since it uses as much as digits as its factorization.

10123133113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973482186.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 10123133113013 its reverse (31031133132101), we get a palindrome (41154266245114).

The spelling of 10123133113013 in words is "ten trillion, one hundred twenty-three billion, one hundred thirty-three million, one hundred thirteen thousand, thirteen".