1313122310220 has 192 divisors, whose sum is σ = 4326792938496. Its totient is φ = 291303751680.

The previous prime is 1313122310207. The next prime is 1313122310221. The reversal of 1313122310220 is 220132213131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1313122310221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3125907 + ... + 3521013.

It is an arithmetic number, because the mean of its divisors is an integer number (22535379888).

Almost surely, 2^{1313122310220} is an apocalyptic number.

1313122310220 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 1313122310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163396469248).

1313122310220 is an abundant number, since it is smaller than the sum of its proper divisors (3013670628276).

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

1313122310220 is a wasteful number, since it uses less digits than its factorization.

1313122310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395360 (or 395358 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1313122310220 its reverse (220132213131), we get a palindrome (1533254523351).

The spelling of 1313122310220 in words is "one trillion, three hundred thirteen billion, one hundred twenty-two million, three hundred ten thousand, two hundred twenty".