101713957120 has 72 divisors (see below), whose sum is σ = 247630947480. Its totient is φ = 40018575360.

The previous prime is 101713957087. The next prime is 101713957171. The reversal of 101713957120 is 21759317101.

It can be written as a sum of positive squares in 4 ways, for example, as 1473331456 + 100240625664 = 38384^2 + 316608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101713957120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 573265 + ... + 729424.

It is an arithmetic number, because the mean of its divisors is an integer number (3439318715).

Almost surely, 2^101713957120 is an apocalyptic number.

101713957120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101713957120 is an abundant number, since it is smaller than the sum of its proper divisors (145916990360).

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

101713957120 is an equidigital number, since it uses as much as digits as its factorization.

101713957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302771 (or 1302757 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 37.

The spelling of 101713957120 in words is "one hundred one billion, seven hundred thirteen million, nine hundred fifty-seven thousand, one hundred twenty".