42133030305127 has 2 divisors, whose sum is σ = 42133030305128. Its totient is φ = 42133030305126.

The previous prime is 42133030305109. The next prime is 42133030305169. The reversal of 42133030305127 is 72150303033124.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42133030305127 is a prime.

It is a super-2 number, since 2×42133030305127² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42133030305092 and 42133030305101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42133030315127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21066515152563 + 21066515152564.

It is an arithmetic number, because the mean of its divisors is an integer number (21066515152564).

Almost surely, 2^{42133030305127} is an apocalyptic number.

42133030305127 is a deficient number, since it is larger than the sum of its proper divisors (1).

42133030305127 is an equidigital number, since it uses as much as digits as its factorization.

42133030305127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 42133030305127 in words is "forty-two trillion, one hundred thirty-three billion, thirty million, three hundred five thousand, one hundred twenty-seven".