1313344324000 has 96 divisors (see below), whose sum is σ = 3229063031376. Its totient is φ = 524983475200.

The previous prime is 1313344323937. The next prime is 1313344324003. The reversal of 1313344324000 is 4234433131.

It can be written as a sum of positive squares in 8 ways, for example, as 417073139344 + 896271184656 = 645812^2 + 946716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1313344324000.

It is not an unprimeable number, because it can be changed into a prime (1313344324003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5862042 + ... + 6081958.

Almost surely, 2^{1313344324000} is an apocalyptic number.

1313344324000 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 1313344324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614531515688).

1313344324000 is an abundant number, since it is smaller than the sum of its proper divisors (1915718707376).

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

1313344324000 is a wasteful number, since it uses less digits than its factorization.

1313344324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221435 (or 221417 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1313344324000 its reverse (4234433131), we get a palindrome (1317578757131).

The spelling of 1313344324000 in words is "one trillion, three hundred thirteen billion, three hundred forty-four million, three hundred twenty-four thousand".