1313121313320 has 64 divisors (see below), whose sum is σ = 3943077200640. Its totient is φ = 349835616000.

The previous prime is 1313121313291. The next prime is 1313121313363. The reversal of 1313121313320 is 233131213131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5029456 + ... + 5284095.

It is an arithmetic number, because the mean of its divisors is an integer number (61610581260).

Almost surely, 2^{1313121313320} is an apocalyptic number.

1313121313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313121313320 is an abundant number, since it is smaller than the sum of its proper divisors (2629955887320).

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

1313121313320 is a wasteful number, since it uses less digits than its factorization.

1313121313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314626 (or 10314622 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1313121313320 its reverse (233131213131), we get a palindrome (1546252526451).

The spelling of 1313121313320 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred twenty".