13122220311030 has 128 divisors (see below), whose sum is σ = 32644577433600. Its totient is φ = 3373486631424.

The previous prime is 13122220310999. The next prime is 13122220311049. The reversal of 13122220311030 is 3011302222131.

It is a junction number, because it is equal to n+sod(n) for n = 13122220310988 and 13122220311006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329047452 + ... + 329087328.

It is an arithmetic number, because the mean of its divisors is an integer number (255035761200).

Almost surely, 2^{13122220311030} is an apocalyptic number.

13122220311030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122220311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322288716800).

13122220311030 is an abundant number, since it is smaller than the sum of its proper divisors (19522357122570).

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

13122220311030 is a wasteful number, since it uses less digits than its factorization.

13122220311030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43238.

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

Adding to 13122220311030 its reverse (3011302222131), we get a palindrome (16133522533161).

The spelling of 13122220311030 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twenty million, three hundred eleven thousand, thirty".