13222231211310 has 512 divisors, whose sum is σ = 36380372078592. Its totient is φ = 3073593600000.

The previous prime is 13222231211297. The next prime is 13222231211383. The reversal of 13222231211310 is 1311213222231.

It is a super-2 number, since 2×13222231211310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17466619452 + ... + 17466620208.

It is an arithmetic number, because the mean of its divisors is an integer number (71055414216).

Almost surely, 2^{13222231211310} is an apocalyptic number.

13222231211310 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 13222231211310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190186039296).

13222231211310 is an abundant number, since it is smaller than the sum of its proper divisors (23158140867282).

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

13222231211310 is a wasteful number, since it uses less digits than its factorization.

13222231211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13222231211310 its reverse (1311213222231), we get a palindrome (14533444433541).

The spelling of 13222231211310 in words is "thirteen trillion, two hundred twenty-two billion, two hundred thirty-one million, two hundred eleven thousand, three hundred ten".