331201033133313 has 128 divisors (see below), whose sum is σ = 540859545059328. Its totient is φ = 176325776640000.

The previous prime is 331201033133273. The next prime is 331201033133317. The reversal of 331201033133313 is 313331330102133.

It is not a de Polignac number, because 331201033133313 - 2¹⁶ = 331201033067777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331201033133317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 379320223 + ... + 380192363.

It is an arithmetic number, because the mean of its divisors is an integer number (4225465195776).

Almost surely, 2^{331201033133313} is an apocalyptic number.

It is an amenable number.

331201033133313 is a deficient number, since it is larger than the sum of its proper divisors (209658511926015).

331201033133313 is a wasteful number, since it uses less digits than its factorization.

331201033133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872447.

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 331201033133313 its reverse (313331330102133), we get a palindrome (644532363235446).

The spelling of 331201033133313 in words is "three hundred thirty-one trillion, two hundred one billion, thirty-three million, one hundred thirty-three thousand, three hundred thirteen".