13132340042100 has 144 divisors (see below), whose sum is σ = 38393909299200. Its totient is φ = 3465447390720.

The previous prime is 13132340042023. The next prime is 13132340042111. The reversal of 13132340042100 is 124004323131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14377866 + ... + 15263934.

Almost surely, 2^{13132340042100} is an apocalyptic number.

13132340042100 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 13132340042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19196954649600).

13132340042100 is an abundant number, since it is smaller than the sum of its proper divisors (25261569257100).

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

13132340042100 is a wasteful number, since it uses less digits than its factorization.

13132340042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886602 (or 886595 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13132340042100 its reverse (124004323131), we get a palindrome (13256344365231).

The spelling of 13132340042100 in words is "thirteen trillion, one hundred thirty-two billion, three hundred forty million, forty-two thousand, one hundred".