123331993 has 2 divisors, whose sum is σ = 123331994. Its totient is φ = 123331992.

The previous prime is 123331973. The next prime is 123332087. The reversal of 123331993 is 399133321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116920969 + 6411024 = 10813^2 + 2532^2 .

It is an emirp because it is prime and its reverse (399133321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123331993 - 2¹³ = 123323801 is a prime.

It is not a weakly prime, because it can be changed into another prime (123331903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61665996 + 61665997.

It is an arithmetic number, because the mean of its divisors is an integer number (61665997).

Almost surely, 2^123331993 is an apocalyptic number.

It is an amenable number.

123331993 is a deficient number, since it is larger than the sum of its proper divisors (1).

123331993 is an equidigital number, since it uses as much as digits as its factorization.

123331993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13122, while the sum is 34.

The square root of 123331993 is about 11105.4938206277. The cubic root of 123331993 is about 497.7660242366.

The spelling of 123331993 in words is "one hundred twenty-three million, three hundred thirty-one thousand, nine hundred ninety-three".