10966013 has 2 divisors, whose sum is σ = 10966014. Its totient is φ = 10966012.

The previous prime is 10966001. The next prime is 10966019. The reversal of 10966013 is 31066901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10125124 + 840889 = 3182^2 + 917^2 .

It is a cyclic number.

It is not a de Polignac number, because 10966013 - 2¹⁴ = 10949629 is a prime.

It is a super-2 number, since 2×10966013² = 240506882232338, which contains 22 as substring.

It is equal to p₇₂₄₄₃₆ and since 10966013 and 724436 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10966019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5483006 + 5483007.

It is an arithmetic number, because the mean of its divisors is an integer number (5483007).

Almost surely, 2^10966013 is an apocalyptic number.

It is an amenable number.

10966013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10966013 is an equidigital number, since it uses as much as digits as its factorization.

10966013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 10966013 is about 3311.4970934609. The cubic root of 10966013 is about 222.1687230194.

The spelling of 10966013 in words is "ten million, nine hundred sixty-six thousand, thirteen".