321113137 has 2 divisors, whose sum is σ = 321113138. Its totient is φ = 321113136.

The previous prime is 321113123. The next prime is 321113147. The reversal of 321113137 is 731311123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319730161 + 1382976 = 17881^2 + 1176^2 .

It is a cyclic number.

It is not a de Polignac number, because 321113137 - 2¹⁵ = 321080369 is a prime.

It is a super-3 number, since 3×321113137³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (321113147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160556568 + 160556569.

It is an arithmetic number, because the mean of its divisors is an integer number (160556569).

Almost surely, 2^321113137 is an apocalyptic number.

It is an amenable number.

321113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

321113137 is an equidigital number, since it uses as much as digits as its factorization.

321113137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 22.

The square root of 321113137 is about 17919.6299347950. The cubic root of 321113137 is about 684.7825597879.

The spelling of 321113137 in words is "three hundred twenty-one million, one hundred thirteen thousand, one hundred thirty-seven".