113001304430352 has 320 divisors, whose sum is σ = 329239742307840. Its totient is φ = 33136860168192.

The previous prime is 113001304430293. The next prime is 113001304430353. The reversal of 113001304430352 is 253034403100311.

It is a happy number.

It is a super-2 number, since 2×113001304430352² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113001304430353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5454510298 + ... + 5454531014.

It is an arithmetic number, because the mean of its divisors is an integer number (1028874194712).

Almost surely, 2^{113001304430352} is an apocalyptic number.

113001304430352 is a gapful number since it is divisible by the number (12) 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 113001304430352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164619871153920).

113001304430352 is an abundant number, since it is smaller than the sum of its proper divisors (216238437877488).

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

113001304430352 is a wasteful number, since it uses less digits than its factorization.

113001304430352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22130 (or 22124 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 113001304430352 its reverse (253034403100311), we get a palindrome (366035707530663).

The spelling of 113001304430352 in words is "one hundred thirteen trillion, one billion, three hundred four million, four hundred thirty thousand, three hundred fifty-two".