1313310133332 has 72 divisors (see below), whose sum is σ = 3401808490080. Its totient is φ = 426979022400.

The previous prime is 1313310133319. The next prime is 1313310133351. The reversal of 1313310133332 is 2333310133131.

1313310133332 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 310 + 13 + 3 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1313310133296 and 1313310133305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480019 + ... + 1690277.

It is an arithmetic number, because the mean of its divisors is an integer number (47247340140).

Almost surely, 2^{1313310133332} is an apocalyptic number.

1313310133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313310133332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700904245040).

1313310133332 is an abundant number, since it is smaller than the sum of its proper divisors (2088498356748).

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

1313310133332 is a wasteful number, since it uses less digits than its factorization.

1313310133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211013 (or 1211008 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1313310133332 its reverse (2333310133131), we get a palindrome (3646620266463).

The spelling of 1313310133332 in words is "one trillion, three hundred thirteen billion, three hundred ten million, one hundred thirty-three thousand, three hundred thirty-two".