131102333121144 has 128 divisors (see below), whose sum is σ = 408867820922880. Its totient is φ = 34032789705600.

The previous prime is 131102333121139. The next prime is 131102333121163. The reversal of 131102333121144 is 441121333201131.

It is a happy number.

It is a super-2 number, since 2×131102333121144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17402902 + ... + 23771109.

It is an arithmetic number, because the mean of its divisors is an integer number (3194279850960).

Almost surely, 2^{131102333121144} is an apocalyptic number.

131102333121144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131102333121144 is an abundant number, since it is smaller than the sum of its proper divisors (277765487801736).

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

131102333121144 is a wasteful number, since it uses less digits than its factorization.

131102333121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41175761 (or 41175757 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 131102333121144 its reverse (441121333201131), we get a palindrome (572223666322275).

The spelling of 131102333121144 in words is "one hundred thirty-one trillion, one hundred two billion, three hundred thirty-three million, one hundred twenty-one thousand, one hundred forty-four".