1313441095680 has 2016 divisors, whose sum is σ = 5768834385600. Its totient is φ = 274678677504.

The previous prime is 1313441095679. The next prime is 1313441095709. The reversal of 1313441095680 is 865901443131.

1313441095680 is a `hidden beast` number, since 1 + 31 + 3 + 44 + 10 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14757765076 + ... + 14757765164.

Almost surely, 2^{1313441095680} is an apocalyptic number.

1313441095680 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 1313441095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884417192800).

1313441095680 is an abundant number, since it is smaller than the sum of its proper divisors (4455393289920).

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

1313441095680 is a wasteful number, since it uses less digits than its factorization.

1313441095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1313441095680 in words is "one trillion, three hundred thirteen billion, four hundred forty-one million, ninety-five thousand, six hundred eighty".