331201464102133 has 8 divisors (see below), whose sum is σ = 341885594439680. Its totient is φ = 320517347023440.

The previous prime is 331201464102077. The next prime is 331201464102149.

331201464102133 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331201464102133 - 2²⁹ = 331200927231221 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 (331201464105133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83750263 + ... + 87615691.

It is an arithmetic number, because the mean of its divisors is an integer number (42735699304960).

Almost surely, 2^{331201464102133} is an apocalyptic number.

It is an amenable number.

331201464102133 is a deficient number, since it is larger than the sum of its proper divisors (10684130337547).

331201464102133 is a wasteful number, since it uses less digits than its factorization.

331201464102133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629427.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 331201464102133 in words is "three hundred thirty-one trillion, two hundred one billion, four hundred sixty-four million, one hundred two thousand, one hundred thirty-three".