3002022131313 has 16 divisors (see below), whose sum is σ = 4009413470400. Its totient is φ = 1997989847040.

The previous prime is 3002022131233. The next prime is 3002022131347. The reversal of 3002022131313 is 3131312202003.

3002022131313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3002022131313 - 2²⁹ = 3001485260401 is a prime.

It is a super-4 number, since 4×3002022131313⁴ (a number of 51 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3002022131313.

It is not an unprimeable number, because it can be changed into a prime (3002022131113) 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, 36893233 + ... + 36974513.

It is an arithmetic number, because the mean of its divisors is an integer number (250588341900).

Almost surely, 2^{3002022131313} is an apocalyptic number.

It is an amenable number.

3002022131313 is a deficient number, since it is larger than the sum of its proper divisors (1007391339087).

3002022131313 is a wasteful number, since it uses less digits than its factorization.

3002022131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101792.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3002022131313 its reverse (3131312202003), we get a palindrome (6133334333316).

The spelling of 3002022131313 in words is "three trillion, two billion, twenty-two million, one hundred thirty-one thousand, three hundred thirteen".