101294813 has 2 divisors, whose sum is σ = 101294814. Its totient is φ = 101294812.

The previous prime is 101294803. The next prime is 101294881. The reversal of 101294813 is 318492101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100861849 + 432964 = 10043^2 + 658^2 .

It is an emirp because it is prime and its reverse (318492101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101294813 - 2⁴ = 101294797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101294803) 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, 50647406 + 50647407.

It is an arithmetic number, because the mean of its divisors is an integer number (50647407).

Almost surely, 2^101294813 is an apocalyptic number.

It is an amenable number.

101294813 is a deficient number, since it is larger than the sum of its proper divisors (1).

101294813 is an equidigital number, since it uses as much as digits as its factorization.

101294813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 101294813 is about 10064.5324282850. The cubic root of 101294813 is about 466.1536284226.

The spelling of 101294813 in words is "one hundred one million, two hundred ninety-four thousand, eight hundred thirteen".