331000111111001 has 16 divisors (see below), whose sum is σ = 332036561387520. Its totient is φ = 329964419126160.

The previous prime is 331000111110973. The next prime is 331000111111049. The reversal of 331000111111001 is 100111111000133.

It is a cyclic number.

It is not a de Polignac number, because 331000111111001 - 2³⁰ = 330999037369177 is a prime.

It is a super-2 number, since 2×331000111111001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331000111111081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14664829046 + ... + 14664851616.

It is an arithmetic number, because the mean of its divisors is an integer number (20752285086720).

Almost surely, 2^{331000111111001} is an apocalyptic number.

It is an amenable number.

331000111111001 is a deficient number, since it is larger than the sum of its proper divisors (1036450276519).

331000111111001 is a wasteful number, since it uses less digits than its factorization.

331000111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37364.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 331000111111001 its reverse (100111111000133), we get a palindrome (431111222111134).

The spelling of 331000111111001 in words is "three hundred thirty-one trillion, one hundred eleven million, one hundred eleven thousand, one".