331331404133133 has 48 divisors (see below), whose sum is σ = 508711317332400. Its totient is φ = 207409780085760.

The previous prime is 331331404133131. The next prime is 331331404133137.

331331404133133 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 314 + 0 + 4 + 1 + 331 + 3 + 3 = 666.

331331404133133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 109735639328484 + 221595764804649 = 10475478^2 + 14886093^2 .

It is not a de Polignac number, because 331331404133133 - 2¹ = 331331404133131 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331331404133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12663033 + ... + 28688241.

It is an arithmetic number, because the mean of its divisors is an integer number (10598152444425).

Almost surely, 2^{331331404133133} is an apocalyptic number.

It is an amenable number.

331331404133133 is a deficient number, since it is larger than the sum of its proper divisors (177379913199267).

331331404133133 is a wasteful number, since it uses less digits than its factorization.

331331404133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16027422 (or 16027419 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

It can be divided in two parts, 33133140 and 4133133, that added together give a palindrome (37266273).

The spelling of 331331404133133 in words is "three hundred thirty-one trillion, three hundred thirty-one billion, four hundred four million, one hundred thirty-three thousand, one hundred thirty-three".