1325233352313 has 24 divisors (see below), whose sum is σ = 2069495450568. Its totient is φ = 812354936832.

The previous prime is 1325233352281. The next prime is 1325233352321. The reversal of 1325233352313 is 3132533325231.

1325233352313 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 3 + 335 + 2 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 576267729129 + 748965623184 = 759123^2 + 865428^2 .

It is not a de Polignac number, because 1325233352313 - 2⁵ = 1325233352281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1325233352323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22006470 + ... + 22066607.

It is an arithmetic number, because the mean of its divisors is an integer number (86228977107).

Almost surely, 2^{1325233352313} is an apocalyptic number.

1325233352313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1325233352313 is a deficient number, since it is larger than the sum of its proper divisors (744262098255).

1325233352313 is a wasteful number, since it uses less digits than its factorization.

1325233352313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44073353 (or 44073350 counting only the distinct ones).

The product of its digits is 145800, while the sum is 36.

Adding to 1325233352313 its reverse (3132533325231), we get a palindrome (4457766677544).

The spelling of 1325233352313 in words is "one trillion, three hundred twenty-five billion, two hundred thirty-three million, three hundred fifty-two thousand, three hundred thirteen".