13311100311220 has 192 divisors, whose sum is σ = 30884525199360. Its totient is φ = 4796920627200.

The previous prime is 13311100311217. The next prime is 13311100311307. The reversal of 13311100311220 is 2211300111331.

It is a super-2 number, since 2×13311100311220² (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 63 ways as a sum of consecutive naturals, for example, 3403501065 + ... + 3403504975.

It is an arithmetic number, because the mean of its divisors is an integer number (160856902080).

Almost surely, 2^{13311100311220} is an apocalyptic number.

13311100311220 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 13311100311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442262599680).

13311100311220 is an abundant number, since it is smaller than the sum of its proper divisors (17573424888140).

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

13311100311220 is a wasteful number, since it uses less digits than its factorization.

13311100311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13311100311220 its reverse (2211300111331), we get a palindrome (15522400422551).

The spelling of 13311100311220 in words is "thirteen trillion, three hundred eleven billion, one hundred million, three hundred eleven thousand, two hundred twenty".