13100322400 has 288 divisors, whose sum is σ = 37520848512. Its totient is φ = 4413235200.

The previous prime is 13100322377. The next prime is 13100322409. The reversal of 13100322400 is 422300131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100322409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10022547 + ... + 10023853.

It is an arithmetic number, because the mean of its divisors is an integer number (130280724).

Almost surely, 2^13100322400 is an apocalyptic number.

13100322400 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 13100322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760424256).

13100322400 is an abundant number, since it is smaller than the sum of its proper divisors (24420526112).

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

13100322400 is a wasteful number, since it uses less digits than its factorization.

13100322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13100322400 its reverse (422300131), we get a palindrome (13522622531).

The spelling of 13100322400 in words is "thirteen billion, one hundred million, three hundred twenty-two thousand, four hundred".