34133541101 has 24 divisors (see below), whose sum is σ = 38755782912. Its totient is φ = 30008721600.

The previous prime is 34133541073. The next prime is 34133541119. The reversal of 34133541101 is 10114533143.

It is not a de Polignac number, because 34133541101 - 2²⁶ = 34066432237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133540101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8411465 + ... + 8415521.

It is an arithmetic number, because the mean of its divisors is an integer number (1614824288).

Almost surely, 2^34133541101 is an apocalyptic number.

34133541101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34133541101 is a deficient number, since it is larger than the sum of its proper divisors (4622241811).

34133541101 is a wasteful number, since it uses less digits than its factorization.

34133541101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 34133541101 in words is "thirty-four billion, one hundred thirty-three million, five hundred forty-one thousand, one hundred one".