13232200010100 has 144 divisors (see below), whose sum is σ = 39322312044288. Its totient is φ = 3433008821760.

The previous prime is 13232200010011. The next prime is 13232200010167. The reversal of 13232200010100 is 101000223231.

It is a super-2 number, since 2×13232200010100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13232200010100.

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 47 ways as a sum of consecutive naturals, for example, 272114389 + ... + 272163011.

Almost surely, 2^{13232200010100} is an apocalyptic number.

13232200010100 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 13232200010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661156022144).

13232200010100 is an abundant number, since it is smaller than the sum of its proper divisors (26090112034188).

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

13232200010100 is a wasteful number, since it uses less digits than its factorization.

13232200010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73194 (or 73187 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13232200010100 its reverse (101000223231), we get a palindrome (13333200233331).

The spelling of 13232200010100 in words is "thirteen trillion, two hundred thirty-two billion, two hundred million, ten thousand, one hundred".