13231422014100 has 288 divisors, whose sum is σ = 40151236156416. Its totient is φ = 3360375782400.

The previous prime is 13231422014081. The next prime is 13231422014117. The reversal of 13231422014100 is 141022413231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1103808307 + ... + 1103820293.

It is an arithmetic number, because the mean of its divisors is an integer number (139414014432).

Almost surely, 2^{13231422014100} is an apocalyptic number.

13231422014100 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 13231422014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20075618078208).

13231422014100 is an abundant number, since it is smaller than the sum of its proper divisors (26919814142316).

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

13231422014100 is a wasteful number, since it uses less digits than its factorization.

13231422014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175 (or 14168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13231422014100 its reverse (141022413231), we get a palindrome (13372444427331).

The spelling of 13231422014100 in words is "thirteen trillion, two hundred thirty-one billion, four hundred twenty-two million, fourteen thousand, one hundred".