34513101 has 48 divisors (see below), whose sum is σ = 62654400. Its totient is φ = 18670176.

The previous prime is 34513099. The next prime is 34513121. The reversal of 34513101 is 10131543.

It is not a de Polignac number, because 34513101 - 2¹ = 34513099 is a prime.

It is a super-3 number, since 3×34513101³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24451 + ... + 25823.

It is an arithmetic number, because the mean of its divisors is an integer number (1305300).

Almost surely, 2^34513101 is an apocalyptic number.

It is an amenable number.

34513101 is a deficient number, since it is larger than the sum of its proper divisors (28141299).

34513101 is a wasteful number, since it uses less digits than its factorization.

34513101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 34513101 is about 5874.7851875622. The cubic root of 34513101 is about 325.5827053106.

Adding to 34513101 its reverse (10131543), we get a palindrome (44644644).

The spelling of 34513101 in words is "thirty-four million, five hundred thirteen thousand, one hundred one".