42031010344261 has 2 divisors, whose sum is σ = 42031010344262. Its totient is φ = 42031010344260.

The previous prime is 42031010344259. The next prime is 42031010344273. The reversal of 42031010344261 is 16244301013024.

42031010344261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23533355552161 + 18497654792100 = 4851119^2 + 4300890^2 .

It is a cyclic number.

It is not a de Polignac number, because 42031010344261 - 2¹ = 42031010344259 is a prime.

It is a super-2 number, since 2×42031010344261² (a number of 28 digits) contains 22 as substring.

Together with 42031010344259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42031010344061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21015505172130 + 21015505172131.

It is an arithmetic number, because the mean of its divisors is an integer number (21015505172131).

Almost surely, 2^{42031010344261} is an apocalyptic number.

It is an amenable number.

42031010344261 is a deficient number, since it is larger than the sum of its proper divisors (1).

42031010344261 is an equidigital number, since it uses as much as digits as its factorization.

42031010344261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 42031010344261 its reverse (16244301013024), we get a palindrome (58275311357285).

The spelling of 42031010344261 in words is "forty-two trillion, thirty-one billion, ten million, three hundred forty-four thousand, two hundred sixty-one".