320300113100032 has 288 divisors, whose sum is σ = 723871379911680. Its totient is φ = 140417552056320.

The previous prime is 320300113100029. The next prime is 320300113100053. The reversal of 320300113100032 is 230001311003023.

It is a super-3 number, since 3×320300113100032³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320300113099982 and 320300113100009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3172588498 + ... + 3172689454.

It is an arithmetic number, because the mean of its divisors is an integer number (2513442291360).

Almost surely, 2^{320300113100032} is an apocalyptic number.

320300113100032 is a gapful number since it is divisible by the number (32) 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 320300113100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361935689955840).

320300113100032 is an abundant number, since it is smaller than the sum of its proper divisors (403571266811648).

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

320300113100032 is a wasteful number, since it uses less digits than its factorization.

320300113100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101549 (or 101535 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 320300113100032 its reverse (230001311003023), we get a palindrome (550301424103055).

The spelling of 320300113100032 in words is "three hundred twenty trillion, three hundred billion, one hundred thirteen million, one hundred thousand, thirty-two".