1010713 has 6 divisors (see below), whose sum is σ = 1111082. Its totient is φ = 918720.

The previous prime is 1010687. The next prime is 1010717. The reversal of 1010713 is 3170101.

It can be written as a sum of positive squares in only one way, i.e., 915849 + 94864 = 957^2 + 308^2 .

It is not a de Polignac number, because 1010713 - 2⁹ = 1010201 is a prime.

It is a Duffinian number.

1010713 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1010693 and 1010702.

It is not an unprimeable number, because it can be changed into a prime (1010717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4056 + ... + 4297.

2^1010713 is an apocalyptic number.

It is an amenable number.

1010713 is a deficient number, since it is larger than the sum of its proper divisors (100369).

1010713 is an equidigital number, since it uses as much as digits as its factorization.

1010713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 1010713 is about 1005.3422302878. The cubic root of 1010713 is about 100.3558323317.

Adding to 1010713 its reverse (3170101), we get a palindrome (4180814).

The spelling of 1010713 in words is "one million, ten thousand, seven hundred thirteen".