101313181813101 has 8 divisors (see below), whose sum is σ = 135237225708000. Its totient is φ = 67465629563472.

The previous prime is 101313181813079. The next prime is 101313181813187. The reversal of 101313181813101 is 101318181313101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101313181813101 - 2⁹ = 101313181812589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313181813201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19122908226 + ... + 19122913523.

It is an arithmetic number, because the mean of its divisors is an integer number (16904653213500).

Almost surely, 2^{101313181813101} is an apocalyptic number.

It is an amenable number.

101313181813101 is a deficient number, since it is larger than the sum of its proper divisors (33924043894899).

101313181813101 is an equidigital number, since it uses as much as digits as its factorization.

101313181813101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38245822635.

The product of its (nonzero) digits is 1728, while the sum is 33.

The spelling of 101313181813101 in words is "one hundred one trillion, three hundred thirteen billion, one hundred eighty-one million, eight hundred thirteen thousand, one hundred one".