1313542322400 has 576 divisors, whose sum is σ = 5336454445056. Its totient is φ = 272643840000.

The previous prime is 1313542322381. The next prime is 1313542322423. The reversal of 1313542322400 is 42232453131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 194221419 + ... + 194228181.

It is an arithmetic number, because the mean of its divisors is an integer number (9264677856).

Almost surely, 2^{1313542322400} is an apocalyptic number.

1313542322400 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 1313542322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668227222528).

1313542322400 is an abundant number, since it is smaller than the sum of its proper divisors (4022912122656).

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

1313542322400 is a wasteful number, since it uses less digits than its factorization.

1313542322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1313542322400 its reverse (42232453131), we get a palindrome (1355774775531).

The spelling of 1313542322400 in words is "one trillion, three hundred thirteen billion, five hundred forty-two million, three hundred twenty-two thousand, four hundred".