1313132313220 has 192 divisors, whose sum is σ = 3441463635456. Its totient is φ = 409803448320.

The previous prime is 1313132313191. The next prime is 1313132313221. The reversal of 1313132313220 is 223132313131.

It is not an unprimeable number, because it can be changed into a prime (1313132313221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40498815 + ... + 40531225.

It is an arithmetic number, because the mean of its divisors is an integer number (17924289768).

Almost surely, 2^{1313132313220} is an apocalyptic number.

1313132313220 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 1313132313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720731817728).

1313132313220 is an abundant number, since it is smaller than the sum of its proper divisors (2128331322236).

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

1313132313220 is a wasteful number, since it uses less digits than its factorization.

1313132313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32750 (or 32748 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1313132313220 its reverse (223132313131), we get a palindrome (1536264626351).

The spelling of 1313132313220 in words is "one trillion, three hundred thirteen billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred twenty".