3003002121313 has 12 divisors (see below), whose sum is σ = 3170571784320. Its totient is φ = 2843873690616.

The previous prime is 3003002121307. The next prime is 3003002121359. The reversal of 3003002121313 is 3131212003003.

It is not a de Polignac number, because 3003002121313 - 2²⁵ = 3002968566881 is a prime.

It is a super-2 number, since 2×3003002121313² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3003002121373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 615753 + ... + 2526886.

It is an arithmetic number, because the mean of its divisors is an integer number (264214315360).

Almost surely, 2^{3003002121313} is an apocalyptic number.

It is an amenable number.

3003002121313 is a deficient number, since it is larger than the sum of its proper divisors (167569663007).

3003002121313 is a wasteful number, since it uses less digits than its factorization.

3003002121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145324 (or 3145305 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3003002121313 its reverse (3131212003003), we get a palindrome (6134214124316).

The spelling of 3003002121313 in words is "three trillion, three billion, two million, one hundred twenty-one thousand, three hundred thirteen".