1313633133145 has 48 divisors (see below), whose sum is σ = 1681432205328. Its totient is φ = 984995020800.

The previous prime is 1313633133133. The next prime is 1313633133149. The reversal of 1313633133145 is 5413313363131.

It can be written as a sum of positive squares in 8 ways, for example, as 396926460441 + 916706672704 = 630021^2 + 957448^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1313633133145 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313633133149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418753017 + ... + 418756153.

It is an arithmetic number, because the mean of its divisors is an integer number (35029837611).

Almost surely, 2^{1313633133145} is an apocalyptic number.

It is an amenable number.

1313633133145 is a deficient number, since it is larger than the sum of its proper divisors (367799072183).

1313633133145 is a wasteful number, since it uses less digits than its factorization.

1313633133145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578 (or 5559 counting only the distinct ones).

The product of its digits is 87480, while the sum is 37.

Adding to 1313633133145 its reverse (5413313363131), we get a palindrome (6726946496276).

The spelling of 1313633133145 in words is "one trillion, three hundred thirteen billion, six hundred thirty-three million, one hundred thirty-three thousand, one hundred forty-five".