13412100000 has 576 divisors, whose sum is σ = 50160539520. Its totient is φ = 3110400000.

The previous prime is 13412099983. The next prime is 13412100043. The reversal of 13412100000 is 121431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74099910 + ... + 74100090.

It is an arithmetic number, because the mean of its divisors is an integer number (87084270).

Almost surely, 2^13412100000 is an apocalyptic number.

13412100000 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 13412100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25080269760).

13412100000 is an abundant number, since it is smaller than the sum of its proper divisors (36748439520).

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

13412100000 is a wasteful number, since it uses less digits than its factorization.

13412100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13412100000 its reverse (121431), we get a palindrome (13412221431).

The spelling of 13412100000 in words is "thirteen billion, four hundred twelve million, one hundred thousand".