2013003002331 has 16 divisors (see below), whose sum is σ = 2983971751200. Its totient is φ = 1341216715104.

The previous prime is 2013003002327. The next prime is 2013003002333. The reversal of 2013003002331 is 1332003003102.

2013003002331 is a `hidden beast` number, since 2 + 0 + 1 + 30 + 0 + 300 + 2 + 331 = 666.

It is not a de Polignac number, because 2013003002331 - 2² = 2013003002327 is a prime.

It is a super-2 number, since 2×2013003002331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013003002333) 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, 21766516 + ... + 21858801.

It is an arithmetic number, because the mean of its divisors is an integer number (186498234450).

Almost surely, 2^{2013003002331} is an apocalyptic number.

2013003002331 is a deficient number, since it is larger than the sum of its proper divisors (970968748869).

2013003002331 is a wasteful number, since it uses less digits than its factorization.

2013003002331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43627035 (or 43627029 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2013003002331 its reverse (1332003003102), we get a palindrome (3345006005433).

The spelling of 2013003002331 in words is "two trillion, thirteen billion, three million, two thousand, three hundred thirty-one".