101061105561013 has 8 divisors (see below), whose sum is σ = 108836189251328. Its totient is φ = 93286186512624.

The previous prime is 101061105561011. The next prime is 101061105561019. The reversal of 101061105561013 is 310165501160101.

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

It is a cyclic number.

It is not a de Polignac number, because 101061105561013 - 2¹ = 101061105561011 is a prime.

It is a super-4 number, since 4×101061105561013⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101061105561011) 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, 39884145 + ... + 42342262.

It is an arithmetic number, because the mean of its divisors is an integer number (13604523656416).

Almost surely, 2^{101061105561013} is an apocalyptic number.

101061105561013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101061105561013 is a deficient number, since it is larger than the sum of its proper divisors (7775083690315).

101061105561013 is an equidigital number, since it uses as much as digits as its factorization.

101061105561013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82320963.

The product of its (nonzero) digits is 2700, while the sum is 31.

The spelling of 101061105561013 in words is "one hundred one trillion, sixty-one billion, one hundred five million, five hundred sixty-one thousand, thirteen".