220413204131 has 2 divisors, whose sum is σ = 220413204132. Its totient is φ = 220413204130.

The previous prime is 220413204097. The next prime is 220413204139. The reversal of 220413204131 is 131402314022.

220413204131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-220413204131 is a prime.

It is a super-2 number, since 2×220413204131² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 220413204097 and 220413204106.

It is not a weakly prime, because it can be changed into another prime (220413204139) 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 as a sum of consecutive naturals, namely, 110206602065 + 110206602066.

It is an arithmetic number, because the mean of its divisors is an integer number (110206602066).

Almost surely, 2^220413204131 is an apocalyptic number.

220413204131 is a deficient number, since it is larger than the sum of its proper divisors (1).

220413204131 is an equidigital number, since it uses as much as digits as its factorization.

220413204131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 220413204131 its reverse (131402314022), we get a palindrome (351815518153).

The spelling of 220413204131 in words is "two hundred twenty billion, four hundred thirteen million, two hundred four thousand, one hundred thirty-one".