113303201400 has 432 divisors, whose sum is σ = 406868880600. Its totient is φ = 28250050560.

The previous prime is 113303201399. The next prime is 113303201437. The reversal of 113303201400 is 4102303311.

113303201400 is a `hidden beast` number, since 1 + 1 + 330 + 320 + 14 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 89993971 + ... + 89995229.

Almost surely, 2^113303201400 is an apocalyptic number.

113303201400 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 113303201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203434440300).

113303201400 is an abundant number, since it is smaller than the sum of its proper divisors (293565679200).

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

113303201400 is a wasteful number, since it uses less digits than its factorization.

113303201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113303201400 its reverse (4102303311), we get a palindrome (117405504711).

The spelling of 113303201400 in words is "one hundred thirteen billion, three hundred three million, two hundred one thousand, four hundred".