101101311113 has 8 divisors (see below), whose sum is σ = 110384803296. Its totient is φ = 91833229600.

The previous prime is 101101311097. The next prime is 101101311119. The reversal of 101101311113 is 311113101101.

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 101101311113 - 2⁴ = 101101311097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101101311119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3838943 + ... + 3865188.

It is an arithmetic number, because the mean of its divisors is an integer number (13798100412).

Almost surely, 2^101101311113 is an apocalyptic number.

It is an amenable number.

101101311113 is a deficient number, since it is larger than the sum of its proper divisors (9283492183).

101101311113 is a wasteful number, since it uses less digits than its factorization.

101101311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7705335.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 101101311113 its reverse (311113101101), we get a palindrome (412214412214).

It can be divided in two parts, 101101 and 311113, that multiplied together give a palindrome (31453835413).

The spelling of 101101311113 in words is "one hundred one billion, one hundred one million, three hundred eleven thousand, one hundred thirteen".