2302002312013 has 8 divisors (see below), whose sum is σ = 2328138055800. Its totient is φ = 2275872580608.

The previous prime is 2302002311977. The next prime is 2302002312061. The reversal of 2302002312013 is 3102132002032.

It can be written as a sum of positive squares in 4 ways, for example, as 9570121929 + 2292432190084 = 97827^2 + 1514078^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2302002312013 - 2²¹ = 2302000214861 is a prime.

It is a super-2 number, since 2×2302002312013² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302002312613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730756 + ... + 2266717.

It is an arithmetic number, because the mean of its divisors is an integer number (291017256975).

Almost surely, 2^{2302002312013} is an apocalyptic number.

It is an amenable number.

2302002312013 is a deficient number, since it is larger than the sum of its proper divisors (26135743787).

2302002312013 is an equidigital number, since it uses as much as digits as its factorization.

2302002312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006191.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2302002312013 its reverse (3102132002032), we get a palindrome (5404134314045).

The spelling of 2302002312013 in words is "two trillion, three hundred two billion, two million, three hundred twelve thousand, thirteen".