123313333097 has 2 divisors, whose sum is σ = 123313333098. Its totient is φ = 123313333096.

The previous prime is 123313333067. The next prime is 123313333127. The reversal of 123313333097 is 790333313321.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (123313333067) and next prime (123313333127).

It can be written as a sum of positive squares in only one way, i.e., 121090776361 + 2222556736 = 347981^2 + 47144^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313333097 - 2¹⁸ = 123313070953 is a prime.

It is a super-2 number, since 2×123313333097² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123313333097.

It is not a weakly prime, because it can be changed into another prime (123313333027) 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, 61656666548 + 61656666549.

It is an arithmetic number, because the mean of its divisors is an integer number (61656666549).

Almost surely, 2^123313333097 is an apocalyptic number.

It is an amenable number.

123313333097 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313333097 is an equidigital number, since it uses as much as digits as its factorization.

123313333097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 91854, while the sum is 38.

The spelling of 123313333097 in words is "one hundred twenty-three billion, three hundred thirteen million, three hundred thirty-three thousand, ninety-seven".