101301333320 has 128 divisors (see below), whose sum is σ = 264800327040. Its totient is φ = 34469130240.

The previous prime is 101301333317. The next prime is 101301333347. The reversal of 101301333320 is 23333103101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101301333292 and 101301333301.

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, 1254899 + ... + 1333181.

It is an arithmetic number, because the mean of its divisors is an integer number (2068752555).

Almost surely, 2^101301333320 is an apocalyptic number.

101301333320 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 101301333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132400163520).

101301333320 is an abundant number, since it is smaller than the sum of its proper divisors (163498993720).

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

101301333320 is a wasteful number, since it uses less digits than its factorization.

101301333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78495 (or 78491 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 101301333320 its reverse (23333103101), we get a palindrome (124634436421).

The spelling of 101301333320 in words is "one hundred one billion, three hundred one million, three hundred thirty-three thousand, three hundred twenty".