101303032320 has 800 divisors, whose sum is σ = 419380765056. Its totient is φ = 22892544000.

The previous prime is 101303032309. The next prime is 101303032321. The reversal of 101303032320 is 23230303101.

101303032320 is a `hidden beast` number, since 1 + 0 + 130 + 303 + 232 + 0 = 666.

101303032320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 101303032293 and 101303032302.

It is not an unprimeable number, because it can be changed into a prime (101303032321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146603175 + ... + 146603865.

Almost surely, 2^101303032320 is an apocalyptic number.

101303032320 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 101303032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690382528).

101303032320 is an abundant number, since it is smaller than the sum of its proper divisors (318077732736).

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

101303032320 is an equidigital number, since it uses as much as digits as its factorization.

101303032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101303032320 its reverse (23230303101), we get a palindrome (124533335421).

The spelling of 101303032320 in words is "one hundred one billion, three hundred three million, thirty-two thousand, three hundred twenty".