14022113133100 has 288 divisors, whose sum is σ = 34006063472640. Its totient is φ = 4994597376000.

The previous prime is 14022113133097. The next prime is 14022113133107. The reversal of 14022113133100 is 133131122041.

It is a super-2 number, since 2×14022113133100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14022113133107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 536841841 + ... + 536867959.

It is an arithmetic number, because the mean of its divisors is an integer number (118076609280).

Almost surely, 2^{14022113133100} is an apocalyptic number.

14022113133100 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 14022113133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003031736320).

14022113133100 is an abundant number, since it is smaller than the sum of its proper divisors (19983950339540).

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

14022113133100 is a wasteful number, since it uses less digits than its factorization.

14022113133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26409 (or 26402 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 14022113133100 its reverse (133131122041), we get a palindrome (14155244255141).

The spelling of 14022113133100 in words is "fourteen trillion, twenty-two billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred".