3000002120313 has 48 divisors (see below), whose sum is σ = 4430450545920. Its totient is φ = 1804237601760.

The previous prime is 3000002120299. The next prime is 3000002120317. The reversal of 3000002120313 is 3130212000003.

It is not a de Polignac number, because 3000002120313 - 2¹² = 3000002116217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3000002120292 and 3000002120301.

It is not an unprimeable number, because it can be changed into a prime (3000002120317) 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, 114372906 + ... + 114399132.

It is an arithmetic number, because the mean of its divisors is an integer number (92301053040).

Almost surely, 2^{3000002120313} is an apocalyptic number.

3000002120313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3000002120313 is a deficient number, since it is larger than the sum of its proper divisors (1430448425607).

3000002120313 is a wasteful number, since it uses less digits than its factorization.

3000002120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28658 (or 28647 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3000002120313 its reverse (3130212000003), we get a palindrome (6130214120316).

The spelling of 3000002120313 in words is "three trillion, two million, one hundred twenty thousand, three hundred thirteen".