101005610013 has 64 divisors (see below), whose sum is σ = 186668390400. Its totient is φ = 52440410880.

The previous prime is 101005610009. The next prime is 101005610081. The reversal of 101005610013 is 310016500101.

101005610013 is a `hidden beast` number, since 1 + 0 + 100 + 561 + 0 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 101005610013 - 2² = 101005610009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005610093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3880998 + ... + 3906936.

It is an arithmetic number, because the mean of its divisors is an integer number (2916693600).

Almost surely, 2^101005610013 is an apocalyptic number.

It is an amenable number.

101005610013 is a deficient number, since it is larger than the sum of its proper divisors (85662780387).

101005610013 is a wasteful number, since it uses less digits than its factorization.

101005610013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27839 (or 27833 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 101005610013 in words is "one hundred one billion, five million, six hundred ten thousand, thirteen".