1313215504000 has 64 divisors (see below), whose sum is σ = 3264982086600. Its totient is φ = 525286195200.

The previous prime is 1313215503997. The next prime is 1313215504021. The reversal of 1313215504000 is 4055123131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 848211528256 + 465003975744 = 920984^2 + 681912^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41021985 + ... + 41053984.

Almost surely, 2^{1313215504000} is an apocalyptic number.

1313215504000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313215504000 is an abundant number, since it is smaller than the sum of its proper divisors (1951766582600).

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

1313215504000 is an frugal number, since it uses more digits than its factorization.

1313215504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82075998 (or 82075976 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 1313215504000 in words is "one trillion, three hundred thirteen billion, two hundred fifteen million, five hundred four thousand".