42121424431193 has 2 divisors, whose sum is σ = 42121424431194. Its totient is φ = 42121424431192.

The previous prime is 42121424431189. The next prime is 42121424431241. The reversal of 42121424431193 is 39113442412124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30203960530969 + 11917463900224 = 5495813^2 + 3452168^2 .

It is a cyclic number.

It is not a de Polignac number, because 42121424431193 - 2² = 42121424431189 is a prime.

It is a super-2 number, since 2×42121424431193² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42121424431193.

It is not a weakly prime, because it can be changed into another prime (42121424431183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21060712215596 + 21060712215597.

It is an arithmetic number, because the mean of its divisors is an integer number (21060712215597).

Almost surely, 2^{42121424431193} is an apocalyptic number.

It is an amenable number.

42121424431193 is a deficient number, since it is larger than the sum of its proper divisors (1).

42121424431193 is an equidigital number, since it uses as much as digits as its factorization.

42121424431193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 165888, while the sum is 41.

The spelling of 42121424431193 in words is "forty-two trillion, one hundred twenty-one billion, four hundred twenty-four million, four hundred thirty-one thousand, one hundred ninety-three".