34401430102133 has 32 divisors (see below), whose sum is σ = 35487354839040. Its totient is φ = 33339794745600.

The previous prime is 34401430102097. The next prime is 34401430102241. The reversal of 34401430102133 is 33120103410443.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34401430102133 - 2¹⁸ = 34401429839989 is a prime.

It is a super-2 number, since 2×34401430102133² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34401430102096 and 34401430102105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401430104133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355349291 + ... + 355446087.

It is an arithmetic number, because the mean of its divisors is an integer number (1108979838720).

Almost surely, 2^{34401430102133} is an apocalyptic number.

It is an amenable number.

34401430102133 is a deficient number, since it is larger than the sum of its proper divisors (1085924736907).

34401430102133 is a wasteful number, since it uses less digits than its factorization.

34401430102133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97397.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 34401430102133 its reverse (33120103410443), we get a palindrome (67521533512576).

The spelling of 34401430102133 in words is "thirty-four trillion, four hundred one billion, four hundred thirty million, one hundred two thousand, one hundred thirty-three".