3331323120313 has 8 divisors (see below), whose sum is σ = 3332656445832. Its totient is φ = 3329990042496.

The previous prime is 3331323120253. The next prime is 3331323120329. The reversal of 3331323120313 is 3130213231333.

It can be written as a sum of positive squares in 4 ways, for example, as 596705266089 + 2734617854224 = 772467^2 + 1653668^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3331323120313 - 2³³ = 3322733185721 is a prime.

It is a super-2 number, since 2×3331323120313² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3331323120373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29625031 + ... + 29737267.

It is an arithmetic number, because the mean of its divisors is an integer number (416582055729).

Almost surely, 2^{3331323120313} is an apocalyptic number.

It is an amenable number.

3331323120313 is a deficient number, since it is larger than the sum of its proper divisors (1333325519).

3331323120313 is a wasteful number, since it uses less digits than its factorization.

3331323120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123851.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 3331323120313 its reverse (3130213231333), we get a palindrome (6461536351646).

The spelling of 3331323120313 in words is "three trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred twenty thousand, three hundred thirteen".