42013250240033 has 2 divisors, whose sum is σ = 42013250240034. Its totient is φ = 42013250240032.

The previous prime is 42013250239951. The next prime is 42013250240063. The reversal of 42013250240033 is 33004205231024.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26751156311104 + 15262093928929 = 5172152^2 + 3906673^2 .

It is a cyclic number.

It is not a de Polignac number, because 42013250240033 - 2¹² = 42013250235937 is a prime.

It is a super-2 number, since 2×42013250240033² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42013250239978 and 42013250240005.

It is not a weakly prime, because it can be changed into another prime (42013250240063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21006625120016 + 21006625120017.

It is an arithmetic number, because the mean of its divisors is an integer number (21006625120017).

Almost surely, 2^{42013250240033} is an apocalyptic number.

It is an amenable number.

42013250240033 is a deficient number, since it is larger than the sum of its proper divisors (1).

42013250240033 is an equidigital number, since it uses as much as digits as its factorization.

42013250240033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 42013250240033 its reverse (33004205231024), we get a palindrome (75017455471057).

The spelling of 42013250240033 in words is "forty-two trillion, thirteen billion, two hundred fifty million, two hundred forty thousand, thirty-three".