1313531993088 has 264 divisors, whose sum is σ = 4523089978368. Its totient is φ = 358977282048.

The previous prime is 1313531993069. The next prime is 1313531993089. The reversal of 1313531993088 is 8803991353131.

1313531993088 is a `hidden beast` number, since 1 + 3 + 13 + 5 + 319 + 9 + 308 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313531993089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041145 + ... + 1926407.

Almost surely, 2^{1313531993088} is an apocalyptic number.

1313531993088 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 1313531993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261544989184).

1313531993088 is an abundant number, since it is smaller than the sum of its proper divisors (3209557985280).

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

1313531993088 is a wasteful number, since it uses less digits than its factorization.

1313531993088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885319 (or 885298 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1313531993088 in words is "one trillion, three hundred thirteen billion, five hundred thirty-one million, nine hundred ninety-three thousand, eighty-eight".