1313031332322 has 80 divisors (see below), whose sum is σ = 3022976453112. Its totient is φ = 425665393920.

The previous prime is 1313031332273. The next prime is 1313031332357. The reversal of 1313031332322 is 2232331303131.

1313031332322 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 3 + 1 + 332 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 898834828761 + 414196503561 = 948069^2 + 643581^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14297872 + ... + 14389412.

Almost surely, 2^{1313031332322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313031332322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511488226556).

1313031332322 is an abundant number, since it is smaller than the sum of its proper divisors (1709945120790).

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

1313031332322 is a wasteful number, since it uses less digits than its factorization.

1313031332322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93985 (or 93976 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1313031332322 its reverse (2232331303131), we get a palindrome (3545362635453).

The spelling of 1313031332322 in words is "one trillion, three hundred thirteen billion, thirty-one million, three hundred thirty-two thousand, three hundred twenty-two".