3132134312313 has 16 divisors (see below), whose sum is σ = 4192751998976. Its totient is φ = 2079809479440.

The previous prime is 3132134312299. The next prime is 3132134312339.

It is a happy number.

3132134312313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3132134312313 - 2⁸ = 3132134312057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3132134313313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1163856 + ... + 2760222.

It is an arithmetic number, because the mean of its divisors is an integer number (262046999936).

Almost surely, 2^{3132134312313} is an apocalyptic number.

It is an amenable number.

3132134312313 is a deficient number, since it is larger than the sum of its proper divisors (1060617686663).

3132134312313 is a wasteful number, since it uses less digits than its factorization.

3132134312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598964.

The product of its digits is 11664, while the sum is 30.

The spelling of 3132134312313 in words is "three trillion, one hundred thirty-two billion, one hundred thirty-four million, three hundred twelve thousand, three hundred thirteen".