101320213320 has 96 divisors (see below), whose sum is σ = 329447284920. Its totient is φ = 27005875200.

The previous prime is 101320213301. The next prime is 101320213321. The reversal of 101320213320 is 23312023101.

101320213320 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 21 + 3 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50649302916 + 50670910404 = 225054^2 + 225102^2 .

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 = 101320213293 and 101320213302.

It is not an unprimeable number, because it can be changed into a prime (101320213321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703470 + ... + 835170.

Almost surely, 2^101320213320 is an apocalyptic number.

101320213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320213320 is an abundant number, since it is smaller than the sum of its proper divisors (228127071600).

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

101320213320 is a wasteful number, since it uses less digits than its factorization.

101320213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133855 (or 133848 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101320213320 its reverse (23312023101), we get a palindrome (124632236421).

The spelling of 101320213320 in words is "one hundred one billion, three hundred twenty million, two hundred thirteen thousand, three hundred twenty".