3105313506133 has 2 divisors, whose sum is σ = 3105313506134. Its totient is φ = 3105313506132.

The previous prime is 3105313506121. The next prime is 3105313506247. The reversal of 3105313506133 is 3316053135013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2198108690404 + 907204815729 = 1482602^2 + 952473^2 .

It is an emirp because it is prime and its reverse (3316053135013) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3105313506133 is a prime.

It is a super-3 number, since 3×3105313506133³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3105313506833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1552656753066 + 1552656753067.

It is an arithmetic number, because the mean of its divisors is an integer number (1552656753067).

Almost surely, 2^{3105313506133} is an apocalyptic number.

It is an amenable number.

3105313506133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3105313506133 is an equidigital number, since it uses as much as digits as its factorization.

3105313506133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36450, while the sum is 34.

The spelling of 3105313506133 in words is "three trillion, one hundred five billion, three hundred thirteen million, five hundred six thousand, one hundred thirty-three".