101131131101 has 16 divisors (see below), whose sum is σ = 135784457088. Its totient is φ = 72741672000.

The previous prime is 101131131091. The next prime is 101131131103.

101131131101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101131131101 - 2³⁴ = 83951261917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131131103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50514050 + ... + 50516051.

It is an arithmetic number, because the mean of its divisors is an integer number (8486528568).

Almost surely, 2^101131131101 is an apocalyptic number.

101131131101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101131131101 is a deficient number, since it is larger than the sum of its proper divisors (34653325987).

101131131101 is a wasteful number, since it uses less digits than its factorization.

101131131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101030132.

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

It can be divided in two parts, 101131 and 131101, that added together give a palindrome (232232).

The spelling of 101131131101 in words is "one hundred one billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred one".