42133031421007 has 2 divisors, whose sum is σ = 42133031421008. Its totient is φ = 42133031421006.

The previous prime is 42133031421001. The next prime is 42133031421037. The reversal of 42133031421007 is 70012413033124.

42133031421007 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42133031421007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42133031421007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42133031421001) 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, 21066515710503 + 21066515710504.

It is an arithmetic number, because the mean of its divisors is an integer number (21066515710504).

Almost surely, 2^{42133031421007} is an apocalyptic number.

42133031421007 is a deficient number, since it is larger than the sum of its proper divisors (1).

42133031421007 is an equidigital number, since it uses as much as digits as its factorization.

42133031421007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 42133031421007 in words is "forty-two trillion, one hundred thirty-three billion, thirty-one million, four hundred twenty-one thousand, seven".