10500013 has 2 divisors, whose sum is σ = 10500014. Its totient is φ = 10500012.

The previous prime is 10499981. The next prime is 10500023. The reversal of 10500013 is 31000501.

10500013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10500023) can be obtained adding 10500013 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6165289 + 4334724 = 2483^2 + 2082^2 .

It is a cyclic number.

It is not a de Polignac number, because 10500013 - 2⁵ = 10499981 is a prime.

It is a super-2 number, since 2×10500013² = 220500546000338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10500023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250006 + 5250007.

It is an arithmetic number, because the mean of its divisors is an integer number (5250007).

Almost surely, 2^10500013 is an apocalyptic number.

It is an amenable number.

10500013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500013 is an equidigital number, since it uses as much as digits as its factorization.

10500013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 10500013 is about 3240.3723551469. The cubic root of 10500013 is about 218.9760473654.

Adding to 10500013 its reverse (31000501), we get a palindrome (41500514).

The spelling of 10500013 in words is "ten million, five hundred thousand, thirteen".