331404515014133 has 12 divisors (see below), whose sum is σ = 364272000353100. Its totient is φ = 301276069385280.

The previous prime is 331404515014103. The next prime is 331404515014171. The reversal of 331404515014133 is 331410515404133.

It can be written as a sum of positive squares in 2 ways, for example, as 275443911829009 + 55960603185124 = 16596503^2 + 7480682^2 .

It is not a de Polignac number, because 331404515014133 - 2²⁰ = 331404513965557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331404515014103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47646593 + ... + 54157241.

It is an arithmetic number, because the mean of its divisors is an integer number (30356000029425).

Almost surely, 2^{331404515014133} is an apocalyptic number.

It is an amenable number.

331404515014133 is a deficient number, since it is larger than the sum of its proper divisors (32867485338967).

331404515014133 is a wasteful number, since it uses less digits than its factorization.

331404515014133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6931348 (or 6931337 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 331404515014133 in words is "three hundred thirty-one trillion, four hundred four billion, five hundred fifteen million, fourteen thousand, one hundred thirty-three".