131013102011 has 16 divisors (see below), whose sum is σ = 145078369920. Its totient is φ = 117307534080.

The previous prime is 131013102001. The next prime is 131013102029. The reversal of 131013102011 is 110201310131.

It is a happy number.

It is not a de Polignac number, because 131013102011 - 2²⁶ = 130945993147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131013102001) 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, 9234155 + ... + 9248331.

It is an arithmetic number, because the mean of its divisors is an integer number (9067398120).

Almost surely, 2^131013102011 is an apocalyptic number.

131013102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131013102011 is a deficient number, since it is larger than the sum of its proper divisors (14065267909).

131013102011 is a wasteful number, since it uses less digits than its factorization.

131013102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26794.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131013102011 its reverse (110201310131), we get a palindrome (241214412142).

The spelling of 131013102011 in words is "one hundred thirty-one billion, thirteen million, one hundred two thousand, eleven".