113053028400 has 480 divisors, whose sum is σ = 438731711040. Its totient is φ = 27825638400.

The previous prime is 113053028383. The next prime is 113053028461. The reversal of 113053028400 is 4820350311.

It is a happy number.

113053028400 is a `hidden beast` number, since 11 + 305 + 302 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×113053028400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11367430 + ... + 11377370.

It is an arithmetic number, because the mean of its divisors is an integer number (914024398).

Almost surely, 2^113053028400 is an apocalyptic number.

113053028400 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 113053028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219365855520).

113053028400 is an abundant number, since it is smaller than the sum of its proper divisors (325678682640).

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

113053028400 is an equidigital number, since it uses as much as digits as its factorization.

113053028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 113053028400 its reverse (4820350311), we get a palindrome (117873378711).

The spelling of 113053028400 in words is "one hundred thirteen billion, fifty-three million, twenty-eight thousand, four hundred".