3001020332013 has 48 divisors (see below), whose sum is σ = 5052064243200. Its totient is φ = 1697356283040.

The previous prime is 3001020331993. The next prime is 3001020332017. The reversal of 3001020332013 is 3102330201003.

3001020332013 is a `hidden beast` number, since 300 + 1 + 0 + 20 + 332 + 0 + 13 = 666.

It is not a de Polignac number, because 3001020332013 - 2¹² = 3001020327917 is a prime.

It is a super-2 number, since 2×3001020332013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001020332017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11780233 + ... + 12032286.

It is an arithmetic number, because the mean of its divisors is an integer number (105251338400).

Almost surely, 2^{3001020332013} is an apocalyptic number.

3001020332013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3001020332013 is a deficient number, since it is larger than the sum of its proper divisors (2051043911187).

3001020332013 is a wasteful number, since it uses less digits than its factorization.

3001020332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23812622 (or 23812619 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3001020332013 its reverse (3102330201003), we get a palindrome (6103350533016).

The spelling of 3001020332013 in words is "three trillion, one billion, twenty million, three hundred thirty-two thousand, thirteen".