2002132321313 has 32 divisors (see below), whose sum is σ = 2169926972928. Its totient is φ = 1840378982400.

The previous prime is 2002132321297. The next prime is 2002132321333. The reversal of 2002132321313 is 3131232312002.

It is not a de Polignac number, because 2002132321313 - 2⁴ = 2002132321297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002132321333) 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, 86709656 + ... + 86732742.

It is an arithmetic number, because the mean of its divisors is an integer number (67810217904).

Almost surely, 2^{2002132321313} is an apocalyptic number.

It is an amenable number.

2002132321313 is a deficient number, since it is larger than the sum of its proper divisors (167794651615).

2002132321313 is a wasteful number, since it uses less digits than its factorization.

2002132321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23753.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2002132321313 its reverse (3131232312002), we get a palindrome (5133364633315).

The spelling of 2002132321313 in words is "two trillion, two billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred thirteen".