1313145461760 has 704 divisors, whose sum is σ = 4873859182080. Its totient is φ = 298403758080.

The previous prime is 1313145461737. The next prime is 1313145461773. The reversal of 1313145461760 is 671645413131.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 311391172 + ... + 311395388.

Almost surely, 2^{1313145461760} is an apocalyptic number.

1313145461760 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 1313145461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436929591040).

1313145461760 is an abundant number, since it is smaller than the sum of its proper divisors (3560713720320).

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

1313145461760 is a wasteful number, since it uses less digits than its factorization.

1313145461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1313145461760 in words is "one trillion, three hundred thirteen billion, one hundred forty-five million, four hundred sixty-one thousand, seven hundred sixty".