13123212033329 has 2 divisors, whose sum is σ = 13123212033330. Its totient is φ = 13123212033328.

The previous prime is 13123212033257. The next prime is 13123212033353. The reversal of 13123212033329 is 92333021232131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9932172856225 + 3191039177104 = 3151535^2 + 1786348^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123212033329 - 2¹² = 13123212029233 is a prime.

It is a super-2 number, since 2×13123212033329² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13123211033329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561606016664 + 6561606016665.

It is an arithmetic number, because the mean of its divisors is an integer number (6561606016665).

Almost surely, 2^{13123212033329} is an apocalyptic number.

It is an amenable number.

13123212033329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123212033329 is an equidigital number, since it uses as much as digits as its factorization.

13123212033329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 13123212033329 in words is "thirteen trillion, one hundred twenty-three billion, two hundred twelve million, thirty-three thousand, three hundred twenty-nine".