13106111400 has 288 divisors, whose sum is σ = 44782133760. Its totient is φ = 3434641920.

The previous prime is 13106111387. The next prime is 13106111477. The reversal of 13106111400 is 411160131.

13106111400 is a `hidden beast` number, since 1 + 3 + 10 + 611 + 1 + 40 + 0 = 666.

13106111400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41344042 + ... + 41344358.

It is an arithmetic number, because the mean of its divisors is an integer number (155493520).

Almost surely, 2^13106111400 is an apocalyptic number.

13106111400 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 13106111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391066880).

13106111400 is an abundant number, since it is smaller than the sum of its proper divisors (31676022360).

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

13106111400 is a wasteful number, since it uses less digits than its factorization.

13106111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13106111400 its reverse (411160131), we get a palindrome (13517271531).

The spelling of 13106111400 in words is "thirteen billion, one hundred six million, one hundred eleven thousand, four hundred".