10900013 has 2 divisors, whose sum is σ = 10900014. Its totient is φ = 10900012.

The previous prime is 10900007. The next prime is 10900031. The reversal of 10900013 is 31000901.

Together with next prime (10900031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10156969 + 743044 = 3187^2 + 862^2 .

It is a cyclic number.

It is not a de Polignac number, because 10900013 - 2⁶ = 10899949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10900063) 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 as a sum of consecutive naturals, namely, 5450006 + 5450007.

It is an arithmetic number, because the mean of its divisors is an integer number (5450007).

Almost surely, 2^10900013 is an apocalyptic number.

It is an amenable number.

10900013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10900013 is an equidigital number, since it uses as much as digits as its factorization.

10900013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 10900013 is about 3301.5167726365. The cubic root of 10900013 is about 221.7221112430.

Adding to 10900013 its reverse (31000901), we get a palindrome (41900914).

The spelling of 10900013 in words is "ten million, nine hundred thousand, thirteen".