4001101331 has 2 divisors, whose sum is σ = 4001101332. Its totient is φ = 4001101330.

The previous prime is 4001101327. The next prime is 4001101333. The reversal of 4001101331 is 1331011004.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4001101331 - 2² = 4001101327 is a prime.

It is a super-3 number, since 3×4001101331³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 4001101333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4001101333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000550665 + 2000550666.

It is an arithmetic number, because the mean of its divisors is an integer number (2000550666).

Almost surely, 2^4001101331 is an apocalyptic number.

4001101331 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001101331 is an equidigital number, since it uses as much as digits as its factorization.

4001101331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 4001101331 is about 63254.2593901786. The cubic root of 4001101331 is about 1587.5467264317.

Adding to 4001101331 its reverse (1331011004), we get a palindrome (5332112335).

The spelling of 4001101331 in words is "four billion, one million, one hundred one thousand, three hundred thirty-one".