101113131011 has 8 divisors (see below), whose sum is σ = 103594407744. Its totient is φ = 98645601600.

The previous prime is 101113130953. The next prime is 101113131019. The reversal of 101113131011 is 110131311101.

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 101113131011 - 2¹⁸ = 101112868867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101113131019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3421940 + ... + 3451361.

It is an arithmetic number, because the mean of its divisors is an integer number (12949300968).

Almost surely, 2^101113131011 is an apocalyptic number.

101113131011 is a deficient number, since it is larger than the sum of its proper divisors (2481276733).

101113131011 is an equidigital number, since it uses as much as digits as its factorization.

101113131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873661.

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

Adding to 101113131011 its reverse (110131311101), we get a palindrome (211244442112).

The spelling of 101113131011 in words is "one hundred one billion, one hundred thirteen million, one hundred thirty-one thousand, eleven".