131103220414032 has 60 divisors (see below), whose sum is σ = 366974664032340. Its totient is φ = 43693005817344.

The previous prime is 131103220414031. The next prime is 131103220414037. The reversal of 131103220414032 is 230414022301131.

131103220414032 is a `hidden beast` number, since 1 + 31 + 1 + 0 + 3 + 220 + 4 + 1 + 403 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31087939830336 + 100015280583696 = 5575656^2 + 10000764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131103220413987 and 131103220414005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131103220414031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83255307 + ... + 84815402.

It is an arithmetic number, because the mean of its divisors is an integer number (6116244400539).

Almost surely, 2^{131103220414032} is an apocalyptic number.

131103220414032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131103220414032 is an abundant number, since it is smaller than the sum of its proper divisors (235871443618308).

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

131103220414032 is a wasteful number, since it uses less digits than its factorization.

131103220414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168076140 (or 168076131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131103220414032 its reverse (230414022301131), we get a palindrome (361517242715163).

The spelling of 131103220414032 in words is "one hundred thirty-one trillion, one hundred three billion, two hundred twenty million, four hundred fourteen thousand, thirty-two".