3133113302313 has 16 divisors (see below), whose sum is σ = 4914687533760. Its totient is φ = 1965875012928.

The previous prime is 3133113302311. The next prime is 3133113302317. The reversal of 3133113302313 is 3132033113313.

3133113302313 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 11 + 330 + 2 + 313 = 666.

It is not a de Polignac number, because 3133113302313 - 2¹ = 3133113302311 is a prime.

It is a super-2 number, since 2×3133113302313² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3133113302311) 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, 3412976995 + ... + 3412977912.

It is an arithmetic number, because the mean of its divisors is an integer number (307167970860).

Almost surely, 2^{3133113302313} is an apocalyptic number.

It is an amenable number.

3133113302313 is a deficient number, since it is larger than the sum of its proper divisors (1781574231447).

3133113302313 is a wasteful number, since it uses less digits than its factorization.

3133113302313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825954933 (or 6825954927 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 3133113302313 its reverse (3132033113313), we get a palindrome (6265146415626).

The spelling of 3133113302313 in words is "three trillion, one hundred thirty-three billion, one hundred thirteen million, three hundred two thousand, three hundred thirteen".