1313322131232 has 144 divisors (see below), whose sum is σ = 3977763072192. Its totient is φ = 425942219520.

The previous prime is 1313322131197. The next prime is 1313322131309. The reversal of 1313322131232 is 2321312233131.

1313322131232 is a `hidden beast` number, since 1 + 313 + 3 + 2 + 2 + 1 + 312 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1313322131196 and 1313322131205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1994644 + ... + 2570067.

It is an arithmetic number, because the mean of its divisors is an integer number (27623354668).

Almost surely, 2^{1313322131232} is an apocalyptic number.

1313322131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313322131232 is an abundant number, since it is smaller than the sum of its proper divisors (2664440940960).

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

1313322131232 is an equidigital number, since it uses as much as digits as its factorization.

1313322131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564773 (or 4564753 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1313322131232 its reverse (2321312233131), we get a palindrome (3634634364363).

The spelling of 1313322131232 in words is "one trillion, three hundred thirteen billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred thirty-two".