1032303013313 has 16 divisors (see below), whose sum is σ = 1217807872512. Its totient is φ = 862673760000.

The previous prime is 1032303013249. The next prime is 1032303013327. The reversal of 1032303013313 is 3133103032301.

1032303013313 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 1032303013313 - 2⁶ = 1032303013249 is a prime.

It is a super-2 number, since 2×1032303013313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1032303003313) 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, 14942513 + ... + 15011438.

It is an arithmetic number, because the mean of its divisors is an integer number (76112992032).

Almost surely, 2^{1032303013313} is an apocalyptic number.

1032303013313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032303013313 is a deficient number, since it is larger than the sum of its proper divisors (185504859199).

1032303013313 is a wasteful number, since it uses less digits than its factorization.

1032303013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29954216.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 1032303013313 its reverse (3133103032301), we get a palindrome (4165406045614).

The spelling of 1032303013313 in words is "one trillion, thirty-two billion, three hundred three million, thirteen thousand, three hundred thirteen".