13134312400 has 120 divisors (see below), whose sum is σ = 36235850400. Its totient is φ = 4524710400.

The previous prime is 13134312379. The next prime is 13134312409. The reversal of 13134312400 is 421343131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134312409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5046 + ... + 162154.

It is an arithmetic number, because the mean of its divisors is an integer number (301965420).

Almost surely, 2^13134312400 is an apocalyptic number.

13134312400 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 13134312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18117925200).

13134312400 is an abundant number, since it is smaller than the sum of its proper divisors (23101538000).

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

13134312400 is a wasteful number, since it uses less digits than its factorization.

13134312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157157 (or 157146 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13134312400 its reverse (421343131), we get a palindrome (13555655531).

The spelling of 13134312400 in words is "thirteen billion, one hundred thirty-four million, three hundred twelve thousand, four hundred".