34002121430133 has 6 divisors (see below), whose sum is σ = 49114175399094. Its totient is φ = 22668080953416.

The previous prime is 34002121430117. The next prime is 34002121430171. The reversal of 34002121430133 is 33103412120043.

It is a happy number.

34002121430133 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 212 + 1 + 430 + 13 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25183555695684 + 8818565734449 = 5018322^2 + 2969607^2 .

It is not a de Polignac number, because 34002121430133 - 2⁴ = 34002121430117 is a prime.

It is a super-2 number, since 2×34002121430133² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34002121430097 and 34002121430106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002121430183) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1889006746110 + ... + 1889006746127.

It is an arithmetic number, because the mean of its divisors is an integer number (8185695899849).

Almost surely, 2^{34002121430133} is an apocalyptic number.

It is an amenable number.

34002121430133 is a deficient number, since it is larger than the sum of its proper divisors (15112053968961).

34002121430133 is a wasteful number, since it uses less digits than its factorization.

34002121430133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778013492243 (or 3778013492240 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34002121430133 its reverse (33103412120043), we get a palindrome (67105533550176).

The spelling of 34002121430133 in words is "thirty-four trillion, two billion, one hundred twenty-one million, four hundred thirty thousand, one hundred thirty-three".