2002302332013 has 32 divisors (see below), whose sum is σ = 2798581118976. Its totient is φ = 1270979949888.

The previous prime is 2002302332003. The next prime is 2002302332027. The reversal of 2002302332013 is 3102332032002.

It is not a de Polignac number, because 2002302332013 - 2⁶ = 2002302331949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002302332003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162215520 + ... + 162227862.

It is an arithmetic number, because the mean of its divisors is an integer number (87455659968).

Almost surely, 2^{2002302332013} is an apocalyptic number.

2002302332013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2002302332013 is a deficient number, since it is larger than the sum of its proper divisors (796278786963).

2002302332013 is a wasteful number, since it uses less digits than its factorization.

2002302332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22953.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2002302332013 its reverse (3102332032002), we get a palindrome (5104634364015).

The spelling of 2002302332013 in words is "two trillion, two billion, three hundred two million, three hundred thirty-two thousand, thirteen".