1317521431296 has 864 divisors, whose sum is σ = 4638649021440. Its totient is φ = 361290792960.

The previous prime is 1317521431279. The next prime is 1317521431307. The reversal of 1317521431296 is 6921341257131.

1317521431296 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 521 + 4 + 31 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

Its product of digits (272160) is a multiple of the sum of its prime factors (378).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7889349805 + ... + 7889349971.

Almost surely, 2^{1317521431296} is an apocalyptic number.

1317521431296 is a gapful number since it is divisible by the number (16) 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 1317521431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319324510720).

1317521431296 is an abundant number, since it is smaller than the sum of its proper divisors (3321127590144).

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

1317521431296 is an equidigital number, since it uses as much as digits as its factorization.

1317521431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 317 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 1317521431296 in words is "one trillion, three hundred seventeen billion, five hundred twenty-one million, four hundred thirty-one thousand, two hundred ninety-six".