101310024320 has 128 divisors (see below), whose sum is σ = 245838013200. Its totient is φ = 39917813760.

The previous prime is 101310024251. The next prime is 101310024359. The reversal of 101310024320 is 23420013101.

It can be written as a sum of positive squares in 8 ways, for example, as 6411525184 + 94898499136 = 80072^2 + 308056^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15774710 + ... + 15781130.

Almost surely, 2^101310024320 is an apocalyptic number.

101310024320 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 101310024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122919006600).

101310024320 is an abundant number, since it is smaller than the sum of its proper divisors (144527988880).

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

101310024320 is an equidigital number, since it uses as much as digits as its factorization.

101310024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6806 (or 6794 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 101310024320 its reverse (23420013101), we get a palindrome (124730037421).

The spelling of 101310024320 in words is "one hundred one billion, three hundred ten million, twenty-four thousand, three hundred twenty".