9137000101 has 16 divisors (see below), whose sum is σ = 9771577200. Its totient is φ = 8527680000.

The previous prime is 9137000087. The next prime is 9137000123. The reversal of 9137000101 is 1010007319.

It can be written as a sum of positive squares in 8 ways, for example, as 31069476 + 9105930625 = 5574^2 + 95425^2 .

It is a cyclic number.

It is not a de Polignac number, because 9137000101 - 2⁷ = 9136999973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9137000501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94351 + ... + 164851.

It is an arithmetic number, because the mean of its divisors is an integer number (610723575).

Almost surely, 2^9137000101 is an apocalyptic number.

It is an amenable number.

9137000101 is a deficient number, since it is larger than the sum of its proper divisors (634577099).

9137000101 is a wasteful number, since it uses less digits than its factorization.

9137000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70680.

The product of its (nonzero) digits is 189, while the sum is 22.

The square root of 9137000101 is about 95587.6566351535. The cubic root of 9137000101 is about 2090.5852241939.

The spelling of 9137000101 in words is "nine billion, one hundred thirty-seven million, one hundred one", and thus it is an aban number.