131101044012 has 72 divisors (see below), whose sum is σ = 355418022960. Its totient is φ = 40619180160.

The previous prime is 131101043971. The next prime is 131101044017. The reversal of 131101044012 is 210440101131.

It is a super-2 number, since 2×131101044012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131101044017) 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 23 ways as a sum of consecutive naturals, for example, 1771939 + ... + 1844442.

It is an arithmetic number, because the mean of its divisors is an integer number (4936361430).

Almost surely, 2^131101044012 is an apocalyptic number.

131101044012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131101044012 is an abundant number, since it is smaller than the sum of its proper divisors (224316978948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131101044012 is a wasteful number, since it uses less digits than its factorization.

131101044012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616463 (or 3616458 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131101044012 its reverse (210440101131), we get a palindrome (341541145143).

The spelling of 131101044012 in words is "one hundred thirty-one billion, one hundred one million, forty-four thousand, twelve".