10407013 has 2 divisors, whose sum is σ = 10407014. Its totient is φ = 10407012.

The previous prime is 10407011. The next prime is 10407029. The reversal of 10407013 is 31070401.

It is an a-pointer prime, because the next prime (10407029) can be obtained adding 10407013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6880129 + 3526884 = 2623^2 + 1878^2 .

It is a cyclic number.

It is not a de Polignac number, because 10407013 - 2¹ = 10407011 is a prime.

It is a super-3 number, since 3×10407013³ (a number of 22 digits) contains 333 as substring.

Together with 10407011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10407011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203506 + 5203507.

It is an arithmetic number, because the mean of its divisors is an integer number (5203507).

Almost surely, 2^10407013 is an apocalyptic number.

It is an amenable number.

10407013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10407013 is an equidigital number, since it uses as much as digits as its factorization.

10407013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10407013 is about 3225.9902355711. The cubic root of 10407013 is about 218.3276292950.

Adding to 10407013 its reverse (31070401), we get a palindrome (41477414).

The spelling of 10407013 in words is "ten million, four hundred seven thousand, thirteen".