13134233211400 has 384 divisors, whose sum is σ = 35599378636800. Its totient is φ = 4413825561600.

The previous prime is 13134233211389. The next prime is 13134233211403. The reversal of 13134233211400 is 411233243131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13134233211403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13582453717 + ... + 13582454683.

It is an arithmetic number, because the mean of its divisors is an integer number (92706715200).

Almost surely, 2^{13134233211400} is an apocalyptic number.

13134233211400 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 13134233211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799689318400).

13134233211400 is an abundant number, since it is smaller than the sum of its proper divisors (22465145425400).

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

13134233211400 is a wasteful number, since it uses less digits than its factorization.

13134233211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13134233211400 its reverse (411233243131), we get a palindrome (13545466454531).

The spelling of 13134233211400 in words is "thirteen trillion, one hundred thirty-four billion, two hundred thirty-three million, two hundred eleven thousand, four hundred".