331122003132001 has 8 divisors (see below), whose sum is σ = 338409626253608. Its totient is φ = 323894360448000.

The previous prime is 331122003131851. The next prime is 331122003132031. The reversal of 331122003132001 is 100231300221133.

It can be written as a sum of positive squares in 4 ways, for example, as 40406681390625 + 290715321741376 = 6356625^2 + 17050376^2 .

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 331122003132001 - 2²⁷ = 331121868914273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331122003132031) 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, 14995098240 + ... + 14995120321.

It is an arithmetic number, because the mean of its divisors is an integer number (42301203281701).

Almost surely, 2^{331122003132001} is an apocalyptic number.

It is an amenable number.

331122003132001 is a deficient number, since it is larger than the sum of its proper divisors (7287623121607).

331122003132001 is a wasteful number, since it uses less digits than its factorization.

331122003132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29990218803.

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

Adding to 331122003132001 its reverse (100231300221133), we get a palindrome (431353303353134).

The spelling of 331122003132001 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, three million, one hundred thirty-two thousand, one".