331220012129 has 2 divisors, whose sum is σ = 331220012130. Its totient is φ = 331220012128.

The previous prime is 331220012117. The next prime is 331220012131. The reversal of 331220012129 is 921210022133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285369640000 + 45850372129 = 534200^2 + 214127^2 .

It is a cyclic number.

It is not a de Polignac number, because 331220012129 - 2⁸ = 331220011873 is a prime.

It is a super-2 number, since 2×331220012129² (a number of 24 digits) contains 22 as substring.

Together with 331220012131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 331220012098 and 331220012107.

It is not a weakly prime, because it can be changed into another prime (331220014129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165610006064 + 165610006065.

It is an arithmetic number, because the mean of its divisors is an integer number (165610006065).

Almost surely, 2^331220012129 is an apocalyptic number.

It is an amenable number.

331220012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

331220012129 is an equidigital number, since it uses as much as digits as its factorization.

331220012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 331220012129 in words is "three hundred thirty-one billion, two hundred twenty million, twelve thousand, one hundred twenty-nine".