4200034304131 has 16 divisors (see below), whose sum is σ = 4277283978240. Its totient is φ = 4123485757440.

The previous prime is 4200034304117. The next prime is 4200034304177. The reversal of 4200034304131 is 1314034300024.

It is a cyclic number.

It is not a de Polignac number, because 4200034304131 - 2⁷ = 4200034304003 is a prime.

It is a super-2 number, since 2×4200034304131² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4200034304096 and 4200034304105.

It is not an unprimeable number, because it can be changed into a prime (4200034304831) 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 15 ways as a sum of consecutive naturals, for example, 129690561 + ... + 129722941.

It is an arithmetic number, because the mean of its divisors is an integer number (267330248640).

Almost surely, 2^{4200034304131} is an apocalyptic number.

4200034304131 is a deficient number, since it is larger than the sum of its proper divisors (77249674109).

4200034304131 is a wasteful number, since it uses less digits than its factorization.

4200034304131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43134.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 4200034304131 its reverse (1314034300024), we get a palindrome (5514068604155).

The spelling of 4200034304131 in words is "four trillion, two hundred billion, thirty-four million, three hundred four thousand, one hundred thirty-one".