331201210123313 has 8 divisors (see below), whose sum is σ = 331235357514600. Its totient is φ = 331167063617280.

The previous prime is 331201210123307. The next prime is 331201210123409. The reversal of 331201210123313 is 313321012102133.

It can be written as a sum of positive squares in 4 ways, for example, as 74313658168369 + 256887551954944 = 8620537^2 + 16027712^2 .

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 331201210123313 - 2³⁶ = 331132490646577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331201210123913) 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 7 ways as a sum of consecutive naturals, for example, 954404153 + ... + 954751113.

It is an arithmetic number, because the mean of its divisors is an integer number (41404419689325).

Almost surely, 2^{331201210123313} is an apocalyptic number.

It is an amenable number.

331201210123313 is a deficient number, since it is larger than the sum of its proper divisors (34147391287).

331201210123313 is a wasteful number, since it uses less digits than its factorization.

331201210123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442627.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 331201210123313 its reverse (313321012102133), we get a palindrome (644522222225446).

The spelling of 331201210123313 in words is "three hundred thirty-one trillion, two hundred one billion, two hundred ten million, one hundred twenty-three thousand, three hundred thirteen".