4001101313 has 6 divisors (see below), whose sum is σ = 4397904882. Its totient is φ = 3637364720.

The previous prime is 4001101309. The next prime is 4001101327. The reversal of 4001101313 is 3131011004.

It can be written as a sum of positive squares in only one way, i.e., 2591624464 + 1409476849 = 50908^2 + 37543^2 .

It is not a de Polignac number, because 4001101313 - 2² = 4001101309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4001101333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16533356 + ... + 16533597.

It is an arithmetic number, because the mean of its divisors is an integer number (732984147).

Almost surely, 2^4001101313 is an apocalyptic number.

It is an amenable number.

4001101313 is a deficient number, since it is larger than the sum of its proper divisors (396803569).

4001101313 is a wasteful number, since it uses less digits than its factorization.

4001101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33066975 (or 33066964 counting only the distinct ones).

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

The square root of 4001101313 is about 63254.2592478957. The cubic root of 4001101313 is about 1587.5467240510.

Adding to 4001101313 its reverse (3131011004), we get a palindrome (7132112317).

The spelling of 4001101313 in words is "four billion, one million, one hundred one thousand, three hundred thirteen".