3133142413313 has 18 divisors (see below), whose sum is σ = 3478303947846. Its totient is φ = 2820109072000.

The previous prime is 3133142413309. The next prime is 3133142413321.

It is a happy number.

3133142413313 is nontrivially palindromic in base 10.

3133142413313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2230551211009 + 902591202304 = 1493503^2 + 950048^2 .

It is not a de Polignac number, because 3133142413313 - 2² = 3133142413309 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3133142413313.

It is not an unprimeable number, because it can be changed into a prime (3133142413343) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34856 + ... + 2503497.

Almost surely, 2^{3133142413313} is an apocalyptic number.

It is an amenable number.

3133142413313 is a deficient number, since it is larger than the sum of its proper divisors (345161534533).

3133142413313 is a wasteful number, since it uses less digits than its factorization.

3133142413313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538577 (or 2538465 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 3133142413313 in words is "three trillion, one hundred thirty-three billion, one hundred forty-two million, four hundred thirteen thousand, three hundred thirteen".