13122233203100 has 144 divisors (see below), whose sum is σ = 33091467010560. Its totient is φ = 4423311763200.

The previous prime is 13122233202983. The next prime is 13122233203139. The reversal of 13122233203100 is 130233222131.

It is a super-2 number, since 2×13122233203100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96733121 + ... + 96868679.

It is an arithmetic number, because the mean of its divisors is an integer number (229801854240).

Almost surely, 2^{13122233203100} is an apocalyptic number.

13122233203100 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 13122233203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16545733505280).

13122233203100 is an abundant number, since it is smaller than the sum of its proper divisors (19969233807460).

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

13122233203100 is a wasteful number, since it uses less digits than its factorization.

13122233203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137908 (or 137901 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13122233203100 its reverse (130233222131), we get a palindrome (13252466425231).

The spelling of 13122233203100 in words is "thirteen trillion, one hundred twenty-two billion, two hundred thirty-three million, two hundred three thousand, one hundred".