1313503001440 has 192 divisors, whose sum is σ = 3644515897344. Its totient is φ = 437906884608.

The previous prime is 1313503001431. The next prime is 1313503001441. The reversal of 1313503001440 is 441003053131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313503001441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 75536427 + ... + 75553813.

It is an arithmetic number, because the mean of its divisors is an integer number (18981853632).

Almost surely, 2^{1313503001440} is an apocalyptic number.

1313503001440 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 1313503001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822257948672).

1313503001440 is an abundant number, since it is smaller than the sum of its proper divisors (2331012895904).

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

1313503001440 is a wasteful number, since it uses less digits than its factorization.

1313503001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19269 (or 19261 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 1313503001440 its reverse (441003053131), we get a palindrome (1754506054571).

The spelling of 1313503001440 in words is "one trillion, three hundred thirteen billion, five hundred three million, one thousand, four hundred forty".