1002013300313 has 16 divisors (see below), whose sum is σ = 1053111206400. Its totient is φ = 952183040256.

The previous prime is 1002013300271. The next prime is 1002013300361. The reversal of 1002013300313 is 3130033102001.

1002013300313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1002013300313 - 2¹⁶ = 1002013234777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002013300291 and 1002013300300.

It is not an unprimeable number, because it can be changed into a prime (1002013300373) 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, 37943288 + ... + 37969686.

It is an arithmetic number, because the mean of its divisors is an integer number (65819450400).

Almost surely, 2^{1002013300313} is an apocalyptic number.

It is an amenable number.

1002013300313 is a deficient number, since it is larger than the sum of its proper divisors (51097906087).

1002013300313 is a wasteful number, since it uses less digits than its factorization.

1002013300313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50336.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1002013300313 its reverse (3130033102001), we get a palindrome (4132046402314).

The spelling of 1002013300313 in words is "one trillion, two billion, thirteen million, three hundred thousand, three hundred thirteen".