331020311001001 has 8 divisors (see below), whose sum is σ = 331337960137800. Its totient is φ = 330702665849472.

The previous prime is 331020311000971. The next prime is 331020311001007. The reversal of 331020311001001 is 100100113020133.

It can be written as a sum of positive squares in 4 ways, for example, as 24853465355625 + 306166845645376 = 4985325^2 + 17497624^2 .

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 331020311001001 - 2²³ = 331020302612393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331020311001007) 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, 181169071 + ... + 182987083.

It is an arithmetic number, because the mean of its divisors is an integer number (41417245017225).

Almost surely, 2^{331020311001001} is an apocalyptic number.

It is an amenable number.

331020311001001 is a deficient number, since it is larger than the sum of its proper divisors (317649136799).

331020311001001 is a wasteful number, since it uses less digits than its factorization.

331020311001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992635.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 331020311001001 its reverse (100100113020133), we get a palindrome (431120424021134).

The spelling of 331020311001001 in words is "three hundred thirty-one trillion, twenty billion, three hundred eleven million, one thousand, one".