1313190335808 has 672 divisors, whose sum is σ = 4469249075200. Its totient is φ = 378961680384.

The previous prime is 1313190335801. The next prime is 1313190335819. The reversal of 1313190335808 is 8085330913131.

1313190335808 is a `hidden beast` number, since 1 + 3 + 1 + 31 + 9 + 0 + 33 + 580 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313190335801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395656773 + ... + 395660091.

Almost surely, 2^{1313190335808} is an apocalyptic number.

1313190335808 is a gapful number since it is divisible by the number (18) 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 1313190335808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234624537600).

1313190335808 is an abundant number, since it is smaller than the sum of its proper divisors (3156058739392).

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

1313190335808 is a wasteful number, since it uses less digits than its factorization.

1313190335808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1313190335808 in words is "one trillion, three hundred thirteen billion, one hundred ninety million, three hundred thirty-five thousand, eight hundred eight".