1345131315312 has 80 divisors (see below), whose sum is σ = 3587259924480. Its totient is φ = 433883923200.

The previous prime is 1345131315289. The next prime is 1345131315317. The reversal of 1345131315312 is 2135131315431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345131315317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36855889 + ... + 36892367.

It is an arithmetic number, because the mean of its divisors is an integer number (44840749056).

Almost surely, 2^{1345131315312} is an apocalyptic number.

1345131315312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1345131315312 is an abundant number, since it is smaller than the sum of its proper divisors (2242128609168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1345131315312 is a wasteful number, since it uses less digits than its factorization.

1345131315312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61302 (or 61296 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The spelling of 1345131315312 in words is "one trillion, three hundred forty-five billion, one hundred thirty-one million, three hundred fifteen thousand, three hundred twelve".