13222133002100 has 72 divisors (see below), whose sum is σ = 31411784892096. Its totient is φ = 4790937760000.

The previous prime is 13222133002021. The next prime is 13222133002121. The reversal of 13222133002100 is 120033122231.

It is a super-2 number, since 2×13222133002100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21079016 + ... + 21697215.

It is an arithmetic number, because the mean of its divisors is an integer number (436274790168).

Almost surely, 2^{13222133002100} is an apocalyptic number.

13222133002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222133002100 is an abundant number, since it is smaller than the sum of its proper divisors (18189651889996).

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

13222133002100 is a wasteful number, since it uses less digits than its factorization.

13222133002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42776537 (or 42776530 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13222133002100 its reverse (120033122231), we get a palindrome (13342166124331).

The spelling of 13222133002100 in words is "thirteen trillion, two hundred twenty-two billion, one hundred thirty-three million, two thousand, one hundred".