42414100031 has 2 divisors, whose sum is σ = 42414100032. Its totient is φ = 42414100030.

The previous prime is 42414100021. The next prime is 42414100033. The reversal of 42414100031 is 13000141424.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42414100031 is a prime.

It is a super-2 number, since 2×42414100031² (a number of 22 digits) contains 22 as substring.

Together with 42414100033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42414099976 and 42414100012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42414100033) 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, 21207050015 + 21207050016.

It is an arithmetic number, because the mean of its divisors is an integer number (21207050016).

Almost surely, 2^42414100031 is an apocalyptic number.

42414100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

42414100031 is an equidigital number, since it uses as much as digits as its factorization.

42414100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42414100031 its reverse (13000141424), we get a palindrome (55414241455).

The spelling of 42414100031 in words is "forty-two billion, four hundred fourteen million, one hundred thousand, thirty-one".