4001101314 has 32 divisors (see below), whose sum is σ = 9166248960. Its totient is φ = 1140562512.

The previous prime is 4001101309. The next prime is 4001101327. The reversal of 4001101314 is 4131011004.

It is a junction number, because it is equal to n+sod(n) for n = 4001101293 and 4001101302.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90064 + ... + 126939.

It is an arithmetic number, because the mean of its divisors is an integer number (286445280).

Almost surely, 2^4001101314 is an apocalyptic number.

4001101314 is an abundant number, since it is smaller than the sum of its proper divisors (5165147646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4001101314 is a wasteful number, since it uses less digits than its factorization.

4001101314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217454.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4001101314 is about 63254.2592558003. The cubic root of 4001101314 is about 1587.5467241833.

Adding to 4001101314 its reverse (4131011004), we get a palindrome (8132112318).

The spelling of 4001101314 in words is "four billion, one million, one hundred one thousand, three hundred fourteen".