1313623716576 has 288 divisors, whose sum is σ = 3735554780160. Its totient is φ = 404018233344.

The previous prime is 1313623716571. The next prime is 1313623716611. The reversal of 1313623716576 is 6756173263131.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313623716571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414521520 + ... + 414524688.

It is an arithmetic number, because the mean of its divisors is an integer number (12970676320).

Almost surely, 2^{1313623716576} is an apocalyptic number.

1313623716576 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 1313623716576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867777390080).

1313623716576 is an abundant number, since it is smaller than the sum of its proper divisors (2421931063584).

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

1313623716576 is a wasteful number, since it uses less digits than its factorization.

1313623716576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3481 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 51.

The spelling of 1313623716576 in words is "one trillion, three hundred thirteen billion, six hundred twenty-three million, seven hundred sixteen thousand, five hundred seventy-six".