34201121242133 has 2 divisors, whose sum is σ = 34201121242134. Its totient is φ = 34201121242132.

The previous prime is 34201121242109. The next prime is 34201121242157. The reversal of 34201121242133 is 33124212110243.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (34201121242109) and next prime (34201121242157).

It can be written as a sum of positive squares in only one way, i.e., 33733131168529 + 467990073604 = 5808023^2 + 684098^2 .

It is a cyclic number.

It is not a de Polignac number, because 34201121242133 - 2¹⁸ = 34201120979989 is a prime.

It is a super-2 number, since 2×34201121242133² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34201121242096 and 34201121242105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34201121242163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17100560621066 + 17100560621067.

It is an arithmetic number, because the mean of its divisors is an integer number (17100560621067).

Almost surely, 2^{34201121242133} is an apocalyptic number.

It is an amenable number.

34201121242133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34201121242133 is an equidigital number, since it uses as much as digits as its factorization.

34201121242133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 34201121242133 its reverse (33124212110243), we get a palindrome (67325333352376).

The spelling of 34201121242133 in words is "thirty-four trillion, two hundred one billion, one hundred twenty-one million, two hundred forty-two thousand, one hundred thirty-three".