331133129 has 2 divisors, whose sum is σ = 331133130. Its totient is φ = 331133128.

The previous prime is 331133119. The next prime is 331133141. The reversal of 331133129 is 921331133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 327610000 + 3523129 = 18100^2 + 1877^2 .

It is a cyclic number.

It is not a de Polignac number, because 331133129 - 2⁴ = 331133113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331133098 and 331133107.

It is not a weakly prime, because it can be changed into another prime (331133119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566564 + 165566565.

It is an arithmetic number, because the mean of its divisors is an integer number (165566565).

Almost surely, 2^331133129 is an apocalyptic number.

It is an amenable number.

331133129 is a deficient number, since it is larger than the sum of its proper divisors (1).

331133129 is an equidigital number, since it uses as much as digits as its factorization.

331133129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1458, while the sum is 26.

The square root of 331133129 is about 18197.0637466598. The cubic root of 331133129 is about 691.8323690156.

The spelling of 331133129 in words is "three hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty-nine".