3003021122013 has 32 divisors (see below), whose sum is σ = 4869176632320. Its totient is φ = 1814084365680.

The previous prime is 3003021121979. The next prime is 3003021122047. The reversal of 3003021122013 is 3102211203003.

It is an interprime number because it is at equal distance from previous prime (3003021121979) and next prime (3003021122047).

It is not a de Polignac number, because 3003021122013 - 2¹⁴ = 3003021105629 is a prime.

It is a super-3 number, since 3×3003021122013³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003021122053) 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, 16376545 + ... + 16558902.

It is an arithmetic number, because the mean of its divisors is an integer number (152161769760).

Almost surely, 2^{3003021122013} is an apocalyptic number.

3003021122013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3003021122013 is a deficient number, since it is larger than the sum of its proper divisors (1866155510307).

3003021122013 is a wasteful number, since it uses less digits than its factorization.

3003021122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32935774 (or 32935768 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3003021122013 its reverse (3102211203003), we get a palindrome (6105232325016).

The spelling of 3003021122013 in words is "three trillion, three billion, twenty-one million, one hundred twenty-two thousand, thirteen".