13134411400 has 96 divisors (see below), whose sum is σ = 33500757600. Its totient is φ = 4749324800.

The previous prime is 13134411341. The next prime is 13134411401. The reversal of 13134411400 is 411443131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13134411401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377124 + ... + 410476.

It is an arithmetic number, because the mean of its divisors is an integer number (348966225).

Almost surely, 2^13134411400 is an apocalyptic number.

13134411400 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 13134411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16750378800).

13134411400 is an abundant number, since it is smaller than the sum of its proper divisors (20366346200).

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

13134411400 is a wasteful number, since it uses less digits than its factorization.

13134411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33559 (or 33550 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13134411400 its reverse (411443131), we get a palindrome (13545854531).

The spelling of 13134411400 in words is "thirteen billion, one hundred thirty-four million, four hundred eleven thousand, four hundred".