101100131011 has 8 divisors (see below), whose sum is σ = 110297806848. Its totient is φ = 91903581000.

The previous prime is 101100130951. The next prime is 101100131021. The reversal of 101100131011 is 110131001101.

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

It is not a de Polignac number, because 101100131011 - 2⁹ = 101100130499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100131021) 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, 87895 + ... + 458176.

It is an arithmetic number, because the mean of its divisors is an integer number (13787225856).

Almost surely, 2^101100131011 is an apocalyptic number.

101100131011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100131011 is a deficient number, since it is larger than the sum of its proper divisors (9197675837).

101100131011 is a wasteful number, since it uses less digits than its factorization.

101100131011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562913.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101100131011 its reverse (110131001101), we get a palindrome (211231132112).

The spelling of 101100131011 in words is "one hundred one billion, one hundred million, one hundred thirty-one thousand, eleven".