331024034134009 has 2 divisors, whose sum is σ = 331024034134010. Its totient is φ = 331024034134008.

The previous prime is 331024034133857. The next prime is 331024034134081. The reversal of 331024034134009 is 900431430420133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175030254010000 + 155993780124009 = 13229900^2 + 12489747^2 .

It is a cyclic number.

It is not a de Polignac number, because 331024034134009 - 2³¹ = 331021886650361 is a prime.

It is a super-2 number, since 2×331024034134009² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331024034134309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165512017067004 + 165512017067005.

It is an arithmetic number, because the mean of its divisors is an integer number (165512017067005).

Almost surely, 2^{331024034134009} is an apocalyptic number.

It is an amenable number.

331024034134009 is a deficient number, since it is larger than the sum of its proper divisors (1).

331024034134009 is an equidigital number, since it uses as much as digits as its factorization.

331024034134009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 331024034134009 in words is "three hundred thirty-one trillion, twenty-four billion, thirty-four million, one hundred thirty-four thousand, nine".