123193813 has 2 divisors, whose sum is σ = 123193814. Its totient is φ = 123193812.

The previous prime is 123193801. The next prime is 123193817. The reversal of 123193813 is 318391321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73307844 + 49885969 = 8562^2 + 7063^2 .

It is an emirp because it is prime and its reverse (318391321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123193813 - 2¹⁷ = 123062741 is a prime.

It is a super-2 number, since 2×123193813² = 30353431122957938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123193817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61596906 + 61596907.

It is an arithmetic number, because the mean of its divisors is an integer number (61596907).

Almost surely, 2^123193813 is an apocalyptic number.

It is an amenable number.

123193813 is a deficient number, since it is larger than the sum of its proper divisors (1).

123193813 is an equidigital number, since it uses as much as digits as its factorization.

123193813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 31.

The square root of 123193813 is about 11099.2708319060. The cubic root of 123193813 is about 497.5800573168.

The spelling of 123193813 in words is "one hundred twenty-three million, one hundred ninety-three thousand, eight hundred thirteen".