1313041287744 has 252 divisors, whose sum is σ = 3861002084940. Its totient is φ = 426583449600.

The previous prime is 1313041287739. The next prime is 1313041287769. The reversal of 1313041287744 is 4477821403131.

1313041287744 is a `hidden beast` number, since 131 + 30 + 412 + 8 + 7 + 74 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214821126144 + 1098220161600 = 463488^2 + 1047960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1313041287744.

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 35 ways as a sum of consecutive naturals, for example, 258419284 + ... + 258424364.

It is an arithmetic number, because the mean of its divisors is an integer number (15321436845).

Almost surely, 2^{1313041287744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313041287744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930501042470).

1313041287744 is an abundant number, since it is smaller than the sum of its proper divisors (2547960797196).

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

1313041287744 is an equidigital number, since it uses as much as digits as its factorization.

1313041287744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1313041287744 in words is "one trillion, three hundred thirteen billion, forty-one million, two hundred eighty-seven thousand, seven hundred forty-four".