101320030330020 has 72 divisors (see below), whose sum is σ = 307338247138104. Its totient is φ = 27018602508288.

The previous prime is 101320030330009. The next prime is 101320030330027. The reversal of 101320030330020 is 20033030023101.

101320030330020 is a `hidden beast` number, since 10 + 1 + 32 + 0 + 0 + 303 + 300 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1453625680896 + 99866404649124 = 1205664^2 + 9993318^2 .

It is a super-2 number, since 2×101320030330020² (a number of 29 digits) contains 22 as substring.

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 = 101320030329975 and 101320030330002.

It is not an unprimeable number, because it can be changed into a prime (101320030330027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124456132 + ... + 125267588.

It is an arithmetic number, because the mean of its divisors is an integer number (4268586765807).

Almost surely, 2^{101320030330020} is an apocalyptic number.

101320030330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320030330020 is an abundant number, since it is smaller than the sum of its proper divisors (206018216808084).

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

101320030330020 is a wasteful number, since it uses less digits than its factorization.

101320030330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505149 (or 1505144 counting only the distinct ones).

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

Adding to 101320030330020 its reverse (20033030023101), we get a palindrome (121353060353121).

The spelling of 101320030330020 in words is "one hundred one trillion, three hundred twenty billion, thirty million, three hundred thirty thousand, twenty".