131303110211100 has 108 divisors (see below), whose sum is σ = 412478925440400. Its totient is φ = 34936180070400.

The previous prime is 131303110211081. The next prime is 131303110211101. The reversal of 131303110211100 is 1112011303131.

131303110211100 is a `hidden beast` number, since 1 + 3 + 130 + 311 + 0 + 211 + 10 + 0 = 666.

It is a super-2 number, since 2×131303110211100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303110211101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 162059536 + ... + 162867735.

Almost surely, 2^{131303110211100} is an apocalyptic number.

131303110211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303110211100 is an abundant number, since it is smaller than the sum of its proper divisors (281175815229300).

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

131303110211100 is a wasteful number, since it uses less digits than its factorization.

131303110211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324927740 (or 324927730 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131303110211100 its reverse (1112011303131), we get a palindrome (132415121514231).

The spelling of 131303110211100 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred ten million, two hundred eleven thousand, one hundred".