100501713 has 12 divisors (see below), whose sum is σ = 156336180. Its totient is φ = 61847136.

The previous prime is 100501679. The next prime is 100501729. The reversal of 100501713 is 317105001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63632529 + 36869184 = 7977^2 + 6072^2 .

It is not a de Polignac number, because 100501713 - 2¹³ = 100493521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100501613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429378 + ... + 429611.

It is an arithmetic number, because the mean of its divisors is an integer number (13028015).

Almost surely, 2^100501713 is an apocalyptic number.

100501713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100501713 is a deficient number, since it is larger than the sum of its proper divisors (55834467).

100501713 is a wasteful number, since it uses less digits than its factorization.

100501713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859008 (or 859005 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 100501713 is about 10025.0542641923. The cubic root of 100501713 is about 464.9338372739.

Adding to 100501713 its reverse (317105001), we get a palindrome (417606714).

The spelling of 100501713 in words is "one hundred million, five hundred one thousand, seven hundred thirteen".