4131001314 has 48 divisors (see below), whose sum is σ = 9991279584. Its totient is φ = 1222704000.

The previous prime is 4131001283. The next prime is 4131001331.

4131001314 is a `hidden beast` number, since 41 + 310 + 0 + 1 + 314 = 666.

4131001314 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234087 + ... + 251114.

It is an arithmetic number, because the mean of its divisors is an integer number (208151658).

Almost surely, 2^4131001314 is an apocalyptic number.

4131001314 is an abundant number, since it is smaller than the sum of its proper divisors (5860278270).

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

4131001314 is a wasteful number, since it uses less digits than its factorization.

4131001314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485263 (or 485260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4131001314 is about 64272.8660789295. The cubic root of 4131001314 is about 1604.5445424978.

It can be divided in two parts, 413100 and 1314, that added together give a palindrome (414414).

The spelling of 4131001314 in words is "four billion, one hundred thirty-one million, one thousand, three hundred fourteen".