101301312320 has 56 divisors (see below), whose sum is σ = 259779433704. Its totient is φ = 37403559936.

The previous prime is 101301312313. The next prime is 101301312367. The reversal of 101301312320 is 23213103101.

101301312320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5914225216 + 95387087104 = 76904^2 + 308848^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12171479 + ... + 12179798.

It is an arithmetic number, because the mean of its divisors is an integer number (4638918459).

Almost surely, 2^101301312320 is an apocalyptic number.

101301312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101301312320 is an abundant number, since it is smaller than the sum of its proper divisors (158478121384).

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

101301312320 is a wasteful number, since it uses less digits than its factorization.

101301312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24351307 (or 24351297 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101301312320 its reverse (23213103101), we get a palindrome (124514415421).

The spelling of 101301312320 in words is "one hundred one billion, three hundred one million, three hundred twelve thousand, three hundred twenty".