1313361576192 has 288 divisors, whose sum is σ = 3647844974592. Its totient is φ = 419137708032.

The previous prime is 1313361576173. The next prime is 1313361576193. The reversal of 1313361576192 is 2916751633131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1313361576193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488782273 + ... + 488784959.

It is an arithmetic number, because the mean of its divisors is an integer number (12666128384).

Almost surely, 2^{1313361576192} is an apocalyptic number.

1313361576192 is a gapful number since it is divisible by the number (12) 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 1313361576192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823922487296).

1313361576192 is an abundant number, since it is smaller than the sum of its proper divisors (2334483398400).

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

1313361576192 is a wasteful number, since it uses less digits than its factorization.

1313361576192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 2999 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The spelling of 1313361576192 in words is "one trillion, three hundred thirteen billion, three hundred sixty-one million, five hundred seventy-six thousand, one hundred ninety-two".