331001311111201 has 8 divisors (see below), whose sum is σ = 334280925655560. Its totient is φ = 327727843924992.

The previous prime is 331001311111199. The next prime is 331001311111253. The reversal of 331001311111201 is 102111113100133.

It can be written as a sum of positive squares in 4 ways, for example, as 1021007181601 + 329980303929600 = 1010449^2 + 18165360^2 .

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 331001311111201 - 2¹ = 331001311111199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331001311111291) 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, 1536731316 + ... + 1536946693.

It is an arithmetic number, because the mean of its divisors is an integer number (41785115706945).

Almost surely, 2^{331001311111201} is an apocalyptic number.

It is an amenable number.

331001311111201 is a deficient number, since it is larger than the sum of its proper divisors (3279614544359).

331001311111201 is a wasteful number, since it uses less digits than its factorization.

331001311111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073679075.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 331001311111201 its reverse (102111113100133), we get a palindrome (433112424211334).

The spelling of 331001311111201 in words is "three hundred thirty-one trillion, one billion, three hundred eleven million, one hundred eleven thousand, two hundred one".