1313321322132 has 36 divisors (see below), whose sum is σ = 3326156447796. Its totient is φ = 436933511040.

The previous prime is 1313321322113. The next prime is 1313321322133. The reversal of 1313321322132 is 2312231233131.

1313321322132 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 321 + 322 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 870556177296 + 442765144836 = 933036^2 + 665406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1313321322096 and 1313321322105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313321322133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34991943 + ... + 35029454.

It is an arithmetic number, because the mean of its divisors is an integer number (92393234661).

Almost surely, 2^{1313321322132} is an apocalyptic number.

1313321322132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313321322132 is an abundant number, since it is smaller than the sum of its proper divisors (2012835125664).

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

1313321322132 is a wasteful number, since it uses less digits than its factorization.

1313321322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70021928 (or 70021923 counting only the distinct ones).

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

Adding to 1313321322132 its reverse (2312231233131), we get a palindrome (3625552555263).

The spelling of 1313321322132 in words is "one trillion, three hundred thirteen billion, three hundred twenty-one million, three hundred twenty-two thousand, one hundred thirty-two".