34131142132033 has 16 divisors (see below), whose sum is σ = 34531831281024. Its totient is φ = 33733009851520.

The previous prime is 34131142132013. The next prime is 34131142132051. The reversal of 34131142132033 is 33023124113143.

It is a cyclic number.

It is not a de Polignac number, because 34131142132033 - 2⁵ = 34131142132001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34131142131986 and 34131142132004.

It is not an unprimeable number, because it can be changed into a prime (34131142132013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51354141 + ... + 52014517.

It is an arithmetic number, because the mean of its divisors is an integer number (2158239455064).

Almost surely, 2^{34131142132033} is an apocalyptic number.

It is an amenable number.

34131142132033 is a deficient number, since it is larger than the sum of its proper divisors (400689148991).

34131142132033 is a wasteful number, since it uses less digits than its factorization.

34131142132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662312.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 34131142132033 its reverse (33023124113143), we get a palindrome (67154266245176).

The spelling of 34131142132033 in words is "thirty-four trillion, one hundred thirty-one billion, one hundred forty-two million, one hundred thirty-two thousand, thirty-three".