1002123023313 has 64 divisors (see below), whose sum is σ = 1411607347200. Its totient is φ = 631153036800.

The previous prime is 1002123023281. The next prime is 1002123023347. The reversal of 1002123023313 is 3133203212001.

It is not a de Polignac number, because 1002123023313 - 2⁵ = 1002123023281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002123023313.

It is not an unprimeable number, because it can be changed into a prime (1002123023353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1852352823 + ... + 1852353363.

It is an arithmetic number, because the mean of its divisors is an integer number (22056364800).

Almost surely, 2^{1002123023313} is an apocalyptic number.

It is an amenable number.

1002123023313 is a deficient number, since it is larger than the sum of its proper divisors (409484323887).

1002123023313 is a wasteful number, since it uses less digits than its factorization.

1002123023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1002123023313 its reverse (3133203212001), we get a palindrome (4135326235314).

The spelling of 1002123023313 in words is "one trillion, two billion, one hundred twenty-three million, twenty-three thousand, three hundred thirteen".