4001331121 has 2 divisors, whose sum is σ = 4001331122. Its totient is φ = 4001331120.

The previous prime is 4001331109. The next prime is 4001331143. The reversal of 4001331121 is 1211331004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2664624400 + 1336706721 = 51620^2 + 36561^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001331121 - 2⁹ = 4001330609 is a prime.

It is a super-4 number, since 4×4001331121⁴ (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4001331095 and 4001331104.

It is not a weakly prime, because it can be changed into another prime (4001331101) 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 as a sum of consecutive naturals, namely, 2000665560 + 2000665561.

It is an arithmetic number, because the mean of its divisors is an integer number (2000665561).

Almost surely, 2^4001331121 is an apocalyptic number.

It is an amenable number.

4001331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001331121 is an equidigital number, since it uses as much as digits as its factorization.

4001331121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 4001331121 is about 63256.0757635186. The cubic root of 4001331121 is about 1587.5771176789.

Adding to 4001331121 its reverse (1211331004), we get a palindrome (5212662125).

The spelling of 4001331121 in words is "four billion, one million, three hundred thirty-one thousand, one hundred twenty-one".