1313332132320 has 288 divisors, whose sum is σ = 4845293474112. Its totient is φ = 322022670336.

The previous prime is 1313332132249. The next prime is 1313332132327. The reversal of 1313332132320 is 232312333131.

1313332132320 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 332 + 1 + 3 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313332132327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4674549 + ... + 4947531.

It is an arithmetic number, because the mean of its divisors is an integer number (16823935674).

Almost surely, 2^{1313332132320} is an apocalyptic number.

1313332132320 is a gapful number since it is divisible by the number (10) 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 1313332132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422646737056).

1313332132320 is an abundant number, since it is smaller than the sum of its proper divisors (3531961341792).

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

1313332132320 is a wasteful number, since it uses less digits than its factorization.

1313332132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273274 (or 273263 counting only the distinct ones).

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

Adding to 1313332132320 its reverse (232312333131), we get a palindrome (1545644465451).

The spelling of 1313332132320 in words is "one trillion, three hundred thirteen billion, three hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty".