13122211032320 has 288 divisors, whose sum is σ = 34498266042240. Its totient is φ = 4752638115840.

The previous prime is 13122211032311. The next prime is 13122211032331. The reversal of 13122211032320 is 2323011222131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458467610 + ... + 458496230.

It is an arithmetic number, because the mean of its divisors is an integer number (119785645980).

Almost surely, 2^{13122211032320} is an apocalyptic number.

13122211032320 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 13122211032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249133021120).

13122211032320 is an abundant number, since it is smaller than the sum of its proper divisors (21376055009920).

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

13122211032320 is a wasteful number, since it uses less digits than its factorization.

13122211032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29181 (or 29167 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13122211032320 its reverse (2323011222131), we get a palindrome (15445222254451).

The spelling of 13122211032320 in words is "thirteen trillion, one hundred twenty-two billion, two hundred eleven million, thirty-two thousand, three hundred twenty".