113134322400 has 432 divisors, whose sum is σ = 406820961792. Its totient is φ = 27287884800.

The previous prime is 113134322387. The next prime is 113134322429. The reversal of 113134322400 is 4223431311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 64758327 + ... + 64760073.

Almost surely, 2^113134322400 is an apocalyptic number.

113134322400 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 113134322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203410480896).

113134322400 is an abundant number, since it is smaller than the sum of its proper divisors (293686639392).

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

113134322400 is a wasteful number, since it uses less digits than its factorization.

113134322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113134322400 its reverse (4223431311), we get a palindrome (117357753711).

It can be divided in two parts, 113134 and 322400, that added together give a palindrome (435534).

The spelling of 113134322400 in words is "one hundred thirteen billion, one hundred thirty-four million, three hundred twenty-two thousand, four hundred".