34132211242233 has 32 divisors (see below), whose sum is σ = 49044131942400. Its totient is φ = 20989964014656.

The previous prime is 34132211242219. The next prime is 34132211242237. The reversal of 34132211242233 is 33224211223143.

It is a happy number.

It is not a de Polignac number, because 34132211242233 - 2⁵ = 34132211242201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34132211242194 and 34132211242203.

It is not an unprimeable number, because it can be changed into a prime (34132211242237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205261848 + ... + 1205290166.

It is an arithmetic number, because the mean of its divisors is an integer number (1532629123200).

Almost surely, 2^{34132211242233} is an apocalyptic number.

It is an amenable number.

34132211242233 is a deficient number, since it is larger than the sum of its proper divisors (14911920700167).

34132211242233 is a wasteful number, since it uses less digits than its factorization.

34132211242233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48541.

The product of its digits is 41472, while the sum is 33.

Adding to 34132211242233 its reverse (33224211223143), we get a palindrome (67356422465376).

The spelling of 34132211242233 in words is "thirty-four trillion, one hundred thirty-two billion, two hundred eleven million, two hundred forty-two thousand, two hundred thirty-three".