131102100012 has 96 divisors (see below), whose sum is σ = 349870800384. Its totient is φ = 37851264000.

The previous prime is 131102100007. The next prime is 131102100049. The reversal of 131102100012 is 210001201131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803137 + ... + 952487.

It is an arithmetic number, because the mean of its divisors is an integer number (3644487504).

Almost surely, 2^131102100012 is an apocalyptic number.

131102100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131102100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174935400192).

131102100012 is an abundant number, since it is smaller than the sum of its proper divisors (218768700372).

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

131102100012 is a wasteful number, since it uses less digits than its factorization.

131102100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149719 (or 149717 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 131102100012 its reverse (210001201131), we get a palindrome (341103301143).

The spelling of 131102100012 in words is "one hundred thirty-one billion, one hundred two million, one hundred thousand, twelve".