4131004131 has 48 divisors (see below), whose sum is σ = 6617546208. Its totient is φ = 2566080000.

The previous prime is 4131004123. The next prime is 4131004133. The reversal of 4131004131 is 1314001314.

It is not a de Polignac number, because 4131004131 - 2³ = 4131004123 is a prime.

It is a super-2 number, since 2×4131004131² = 34130390260678130322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4131004133) 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 47 ways as a sum of consecutive naturals, for example, 412281 + ... + 422181.

It is an arithmetic number, because the mean of its divisors is an integer number (137865546).

Almost surely, 2^4131004131 is an apocalyptic number.

4131004131 is a deficient number, since it is larger than the sum of its proper divisors (2486542077).

4131004131 is a wasteful number, since it uses less digits than its factorization.

4131004131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034 (or 10022 counting only the distinct ones).

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

The square root of 4131004131 is about 64272.8879933055. The cubic root of 4131004131 is about 1604.5449072198.

Adding to 4131004131 its reverse (1314001314), we get a palindrome (5445005445).

It can be divided in two parts, 413100 and 4131, that multiplied together give a square (1706516100 = 41310²).

The spelling of 4131004131 in words is "four billion, one hundred thirty-one million, four thousand, one hundred thirty-one".