113001201300 has 144 divisors (see below), whose sum is σ = 354210579072. Its totient is φ = 27648960000.

The previous prime is 113001201289. The next prime is 113001201317. The reversal of 113001201300 is 3102100311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564550 + ... + 738050.

It is an arithmetic number, because the mean of its divisors is an integer number (2459795688).

Almost surely, 2^113001201300 is an apocalyptic number.

113001201300 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 113001201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177105289536).

113001201300 is an abundant number, since it is smaller than the sum of its proper divisors (241209377772).

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

113001201300 is a wasteful number, since it uses less digits than its factorization.

113001201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173698 (or 173691 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 113001201300 its reverse (3102100311), we get a palindrome (116103301611).

The spelling of 113001201300 in words is "one hundred thirteen billion, one million, two hundred one thousand, three hundred".