13300223122100 has 18 divisors (see below), whose sum is σ = 28861484175174. Its totient is φ = 5320089248800.

The previous prime is 13300223122091. The next prime is 13300223122127. The reversal of 13300223122100 is 122132200331.

It can be written as a sum of positive squares in 3 ways, for example, as 311681024656 + 12988542097444 = 558284^2 + 3603962^2 .

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 5 ways as a sum of consecutive naturals, for example, 66501115511 + ... + 66501115710.

Almost surely, 2^{13300223122100} is an apocalyptic number.

13300223122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300223122100 is an abundant number, since it is smaller than the sum of its proper divisors (15561261053074).

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

13300223122100 is a wasteful number, since it uses less digits than its factorization.

13300223122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133002231235 (or 133002231228 counting only the distinct ones).

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

Adding to 13300223122100 its reverse (122132200331), we get a palindrome (13422355322431).

The spelling of 13300223122100 in words is "thirteen trillion, three hundred billion, two hundred twenty-three million, one hundred twenty-two thousand, one hundred".