13032131331100 has 432 divisors, whose sum is σ = 34719862161600. Its totient is φ = 4225177313280.

The previous prime is 13032131331047. The next prime is 13032131331113. The reversal of 13032131331100 is 113313123031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7284589006 + ... + 7284590794.

It is an arithmetic number, because the mean of its divisors is an integer number (80370051300).

Almost surely, 2^{13032131331100} is an apocalyptic number.

13032131331100 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 13032131331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359931080800).

13032131331100 is an abundant number, since it is smaller than the sum of its proper divisors (21687730830500).

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

13032131331100 is a wasteful number, since it uses less digits than its factorization.

13032131331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13032131331100 its reverse (113313123031), we get a palindrome (13145444454131).

The spelling of 13032131331100 in words is "thirteen trillion, thirty-two billion, one hundred thirty-one million, three hundred thirty-one thousand, one hundred".