13312002220020 has 288 divisors, whose sum is σ = 47862783940608. Its totient is φ = 3042405505152.

The previous prime is 13312002220009. The next prime is 13312002220039. The reversal of 13312002220020 is 2002220021331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13312002219975 and 13312002220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433501507 + ... + 433532213.

It is an arithmetic number, because the mean of its divisors is an integer number (166190222016).

Almost surely, 2^{13312002220020} is an apocalyptic number.

13312002220020 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 13312002220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23931391970304).

13312002220020 is an abundant number, since it is smaller than the sum of its proper divisors (34550781720588).

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

13312002220020 is a wasteful number, since it uses less digits than its factorization.

13312002220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43481 (or 43467 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13312002220020 its reverse (2002220021331), we get a palindrome (15314222241351).

The spelling of 13312002220020 in words is "thirteen trillion, three hundred twelve billion, two million, two hundred twenty thousand, twenty".