34100133020 has 24 divisors (see below), whose sum is σ = 71614128768. Its totient is φ = 13639320000.

The previous prime is 34100133019. The next prime is 34100133079. The reversal of 34100133020 is 2033100143.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34100133020.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 486170 + ... + 551870.

It is an arithmetic number, because the mean of its divisors is an integer number (2983922032).

Almost surely, 2^34100133020 is an apocalyptic number.

It is an amenable number.

34100133020 is an abundant number, since it is smaller than the sum of its proper divisors (37513995748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34100133020 is a wasteful number, since it uses less digits than its factorization.

34100133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91661 (or 91659 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 34100133020 its reverse (2033100143), we get a palindrome (36133233163).

The spelling of 34100133020 in words is "thirty-four billion, one hundred million, one hundred thirty-three thousand, twenty".