13132414112100 has 288 divisors, whose sum is σ = 38654735438592. Its totient is φ = 3441888000000.

The previous prime is 13132414112087. The next prime is 13132414112101. The reversal of 13132414112100 is 121141423131.

It is not an unprimeable number, because it can be changed into a prime (13132414112101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3548340250 + ... + 3548343950.

It is an arithmetic number, because the mean of its divisors is an integer number (134217831384).

Almost surely, 2^{13132414112100} is an apocalyptic number.

13132414112100 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 13132414112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327367719296).

13132414112100 is an abundant number, since it is smaller than the sum of its proper divisors (25522321326492).

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

13132414112100 is a wasteful number, since it uses less digits than its factorization.

13132414112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13132414112100 its reverse (121141423131), we get a palindrome (13253555535231).

The spelling of 13132414112100 in words is "thirteen trillion, one hundred thirty-two billion, four hundred fourteen million, one hundred twelve thousand, one hundred".