34013536101 has 24 divisors (see below), whose sum is σ = 49269168000. Its totient is φ = 22611845376.

The previous prime is 34013536099. The next prime is 34013536103. The reversal of 34013536101 is 10163531043.

34013536101 is a `hidden beast` number, since 3 + 40 + 1 + 3 + 5 + 3 + 610 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (34013536099) and next prime (34013536103).

It is not a de Polignac number, because 34013536101 - 2¹ = 34013536099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013536103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7618996 + ... + 7623458.

It is an arithmetic number, because the mean of its divisors is an integer number (2052882000).

Almost surely, 2^34013536101 is an apocalyptic number.

It is an amenable number.

34013536101 is a deficient number, since it is larger than the sum of its proper divisors (15255631899).

34013536101 is a wasteful number, since it uses less digits than its factorization.

34013536101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 34013536101 in words is "thirty-four billion, thirteen million, five hundred thirty-six thousand, one hundred one".