10132813 has 2 divisors, whose sum is σ = 10132814. Its totient is φ = 10132812.

The previous prime is 10132807. The next prime is 10132817. The reversal of 10132813 is 31823101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7767369 + 2365444 = 2787^2 + 1538^2 .

It is an emirp because it is prime and its reverse (31823101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10132813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10132817) 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, 5066406 + 5066407.

It is an arithmetic number, because the mean of its divisors is an integer number (5066407).

Almost surely, 2^10132813 is an apocalyptic number.

It is an amenable number.

10132813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132813 is an equidigital number, since it uses as much as digits as its factorization.

10132813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10132813 is about 3183.2079730988. The cubic root of 10132813 is about 216.3930671448.

Adding to 10132813 its reverse (31823101), we get a palindrome (41955914).

The spelling of 10132813 in words is "ten million, one hundred thirty-two thousand, eight hundred thirteen".