2004131011 has 8 divisors (see below), whose sum is σ = 2059053104. Its totient is φ = 1949248800.

The previous prime is 2004130979. The next prime is 2004131021. The reversal of 2004131011 is 1101314002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2004131011 - 2⁵ = 2004130979 is a prime.

It is a super-2 number, since 2×2004131011² = 8033082218503764242, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2004130982 and 2004131000.

It is not an unprimeable number, because it can be changed into a prime (2004131021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112036 + ... + 128686.

It is an arithmetic number, because the mean of its divisors is an integer number (257381638).

Almost surely, 2^2004131011 is an apocalyptic number.

2004131011 is a deficient number, since it is larger than the sum of its proper divisors (54922093).

2004131011 is a wasteful number, since it uses less digits than its factorization.

2004131011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19941.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2004131011 is about 44767.5218322391. The cubic root of 2004131011 is about 1260.7879112856.

Adding to 2004131011 its reverse (1101314002), we get a palindrome (3105445013).

The spelling of 2004131011 in words is "two billion, four million, one hundred thirty-one thousand, eleven".