123313111093 has 2 divisors, whose sum is σ = 123313111094. Its totient is φ = 123313111092.

The previous prime is 123313111091. The next prime is 123313111127. The reversal of 123313111093 is 390111313321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84333321604 + 38979789489 = 290402^2 + 197433^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313111093 - 2¹ = 123313111091 is a prime.

It is a super-3 number, since 3×123313111093³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 123313111091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123313111091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656555546 + 61656555547.

It is an arithmetic number, because the mean of its divisors is an integer number (61656555547).

Almost surely, 2^123313111093 is an apocalyptic number.

It is an amenable number.

123313111093 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313111093 is an equidigital number, since it uses as much as digits as its factorization.

123313111093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 123313111093 in words is "one hundred twenty-three billion, three hundred thirteen million, one hundred eleven thousand, ninety-three".