331002000001 has 16 divisors (see below), whose sum is σ = 354591106560. Its totient is φ = 308290469760.

The previous prime is 331001999987. The next prime is 331002000013. The reversal of 331002000001 is 100000200133.

It is a cyclic number.

It is not a de Polignac number, because 331002000001 - 2¹⁷ = 331001868929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331002000701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306775 + ... + 869548.

It is an arithmetic number, because the mean of its divisors is an integer number (22161944160).

Almost surely, 2^331002000001 is an apocalyptic number.

331002000001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

331002000001 is a deficient number, since it is larger than the sum of its proper divisors (23589106559).

331002000001 is a wasteful number, since it uses less digits than its factorization.

331002000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176696.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 331002000001 its reverse (100000200133), we get a palindrome (431002200134).

The spelling of 331002000001 in words is "three hundred thirty-one billion, two million, one", and thus it is an aban number.