10123403013 has 48 divisors (see below), whose sum is σ = 15094759680. Its totient is φ = 6535728000.

The previous prime is 10123403009. The next prime is 10123403023. The reversal of 10123403013 is 31030432101.

10123403013 is a `hidden beast` number, since 10 + 12 + 340 + 301 + 3 = 666.

10123403013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10123403013 - 2² = 10123403009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123403023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8223108 + ... + 8224338.

It is an arithmetic number, because the mean of its divisors is an integer number (314474160).

Almost surely, 2^10123403013 is an apocalyptic number.

It is an amenable number.

10123403013 is a deficient number, since it is larger than the sum of its proper divisors (4971356667).

10123403013 is a wasteful number, since it uses less digits than its factorization.

10123403013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10123403013 its reverse (31030432101), we get a palindrome (41153835114).

It can be divided in two parts, 1012 and 3403013, that added together give a square (3404025 = 1845²).

The spelling of 10123403013 in words is "ten billion, one hundred twenty-three million, four hundred three thousand, thirteen".