331210020012133 has 8 divisors (see below), whose sum is σ = 334493220231576. Its totient is φ = 327926896128000.

The previous prime is 331210020012127. The next prime is 331210020012199.

331210020012133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1443378779649 + 329766641232484 = 1201407^2 + 18159478^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331210020012133 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 (331210020016133) 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, 10343308 + ... + 27738133.

It is an arithmetic number, because the mean of its divisors is an integer number (41811652528947).

Almost surely, 2^{331210020012133} is an apocalyptic number.

It is an amenable number.

331210020012133 is a deficient number, since it is larger than the sum of its proper divisors (3283200219443).

331210020012133 is a wasteful number, since it uses less digits than its factorization.

331210020012133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38167655.

The product of its (nonzero) digits is 648, while the sum is 22.

The spelling of 331210020012133 in words is "three hundred thirty-one trillion, two hundred ten billion, twenty million, twelve thousand, one hundred thirty-three".