1313320221312 has 256 divisors, whose sum is σ = 3873754368000. Its totient is φ = 390865879040.

The previous prime is 1313320221289. The next prime is 1313320221319. The reversal of 1313320221312 is 2131220233131.

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

It is not an unprimeable number, because it can be changed into a prime (1313320221319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394507264 + ... + 394510592.

It is an arithmetic number, because the mean of its divisors is an integer number (15131853000).

Almost surely, 2^{1313320221312} is an apocalyptic number.

1313320221312 is a gapful number since it is divisible by the number (12) 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 1313320221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936877184000).

1313320221312 is an abundant number, since it is smaller than the sum of its proper divisors (2560434146688).

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

1313320221312 is a wasteful number, since it uses less digits than its factorization.

1313320221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1313320221312 its reverse (2131220233131), we get a palindrome (3444540454443).

The spelling of 1313320221312 in words is "one trillion, three hundred thirteen billion, three hundred twenty million, two hundred twenty-one thousand, three hundred twelve".