2123312329 has 2 divisors, whose sum is σ = 2123312330. Its totient is φ = 2123312328.

The previous prime is 2123312281. The next prime is 2123312369. The reversal of 2123312329 is 9232133212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1395769600 + 727542729 = 37360^2 + 26973^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123312329 - 2¹³ = 2123304137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2123312297 and 2123312306.

It is not a weakly prime, because it can be changed into another prime (2123312369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061656164 + 1061656165.

It is an arithmetic number, because the mean of its divisors is an integer number (1061656165).

Almost surely, 2^2123312329 is an apocalyptic number.

It is an amenable number.

2123312329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123312329 is an equidigital number, since it uses as much as digits as its factorization.

2123312329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 28.

The square root of 2123312329 is about 46079.4132883656. The cubic root of 2123312329 is about 1285.3003540207.

The spelling of 2123312329 in words is "two billion, one hundred twenty-three million, three hundred twelve thousand, three hundred twenty-nine".