10071356131600 has 135 divisors (see below), whose sum is σ = 25297858773733. Its totient is φ = 3852829889920.

The previous prime is 10071356131549. The next prime is 10071356131607. The reversal of 10071356131600 is 613165317001.

The square root of 10071356131600 is 3173540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3625688207376 + 6445667924224 = 1904124^2 + 2538832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10071356131607) 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 26 ways as a sum of consecutive naturals, for example, 1459824951 + ... + 1459831849.

Almost surely, 2^{10071356131600} is an apocalyptic number.

10071356131600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10071356131600 is the 3173540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10071356131600

10071356131600 is an abundant number, since it is smaller than the sum of its proper divisors (15226502642133).

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

10071356131600 is an frugal number, since it uses more digits than its factorization.

10071356131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13862 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 10071356131600 in words is "ten trillion, seventy-one billion, three hundred fifty-six million, one hundred thirty-one thousand, six hundred".