113101210000320 has 448 divisors, whose sum is σ = 390307306475520. Its totient is φ = 27642914537472.

The previous prime is 113101210000319. The next prime is 113101210000343. The reversal of 113101210000320 is 23000012101311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113101210000320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93516589 + ... + 94718291.

It is an arithmetic number, because the mean of its divisors is an integer number (871221666240).

Almost surely, 2^{113101210000320} is an apocalyptic number.

113101210000320 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 113101210000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195153653237760).

113101210000320 is an abundant number, since it is smaller than the sum of its proper divisors (277206096475200).

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

113101210000320 is a wasteful number, since it uses less digits than its factorization.

113101210000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201892 (or 1201882 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113101210000320 its reverse (23000012101311), we get a palindrome (136101222101631).

The spelling of 113101210000320 in words is "one hundred thirteen trillion, one hundred one billion, two hundred ten million, three hundred twenty", and thus it is an aban number.