101653445165013 has 32 divisors (see below), whose sum is σ = 172159291116800. Its totient is φ = 58071605151168.

The previous prime is 101653445164969. The next prime is 101653445165029. The reversal of 101653445165013 is 310561544356101.

101653445165013 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 53 + 44 + 51 + 6 + 501 + 3 = 666.

It is not a de Polignac number, because 101653445165013 - 2¹⁰ = 101653445163989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101653445165013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101653445165813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73749598 + ... + 75115311.

It is an arithmetic number, because the mean of its divisors is an integer number (5379977847400).

Almost surely, 2^{101653445165013} is an apocalyptic number.

It is an amenable number.

101653445165013 is a deficient number, since it is larger than the sum of its proper divisors (70505845951787).

101653445165013 is a wasteful number, since it uses less digits than its factorization.

101653445165013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148868538 (or 148868532 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 101653445165013 in words is "one hundred one trillion, six hundred fifty-three billion, four hundred forty-five million, one hundred sixty-five thousand, thirteen".