331000020010001 has 8 divisors (see below), whose sum is σ = 350574514199784. Its totient is φ = 311437070795520.

The previous prime is 331000020009959. The next prime is 331000020010057. The reversal of 331000020010001 is 100010020000133.

It can be written as a sum of positive squares in 4 ways, for example, as 80244402389776 + 250755617620225 = 8957924^2 + 15835265^2 .

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 331000020010001 - 2⁶ = 331000020009937 is a prime.

It is a super-2 number, since 2×331000020010001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331000020012001) 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, 2886184790 + ... + 2886299471.

It is an arithmetic number, because the mean of its divisors is an integer number (43821814274973).

Almost surely, 2^{331000020010001} is an apocalyptic number.

It is an amenable number.

331000020010001 is a deficient number, since it is larger than the sum of its proper divisors (19574494189783).

331000020010001 is a wasteful number, since it uses less digits than its factorization.

331000020010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772487651.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 331000020010001 its reverse (100010020000133), we get a palindrome (431010040010134).

The spelling of 331000020010001 in words is "three hundred thirty-one trillion, twenty million, ten thousand, one".