3001320113331 has 16 divisors (see below), whose sum is σ = 4067709787808. Its totient is φ = 1967910854400.

The previous prime is 3001320113321. The next prime is 3001320113333. The reversal of 3001320113331 is 1333110231003.

It is not a de Polignac number, because 3001320113331 - 2¹⁷ = 3001319982259 is a prime.

It is a super-3 number, since 3×3001320113331³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3001320113298 and 3001320113307.

It is not an unprimeable number, because it can be changed into a prime (3001320113333) 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, 1469535 + ... + 2856951.

It is an arithmetic number, because the mean of its divisors is an integer number (254231861738).

Almost surely, 2^{3001320113331} is an apocalyptic number.

3001320113331 is a deficient number, since it is larger than the sum of its proper divisors (1066389674477).

3001320113331 is a wasteful number, since it uses less digits than its factorization.

3001320113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399302.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3001320113331 its reverse (1333110231003), we get a palindrome (4334430344334).

The spelling of 3001320113331 in words is "three trillion, one billion, three hundred twenty million, one hundred thirteen thousand, three hundred thirty-one".