131101330112100 has 108 divisors (see below), whose sum is σ = 432557721981840. Its totient is φ = 33120336024000.

The previous prime is 131101330112099. The next prime is 131101330112167. The reversal of 131101330112100 is 1211033101131.

131101330112100 is a `hidden beast` number, since 1 + 3 + 110 + 1 + 330 + 11 + 210 + 0 = 666.

It is a super-3 number, since 3×131101330112100³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3833355126 + ... + 3833389325.

Almost surely, 2^{131101330112100} is an apocalyptic number.

131101330112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131101330112100 is an abundant number, since it is smaller than the sum of its proper divisors (301456391869740).

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

131101330112100 is a wasteful number, since it uses less digits than its factorization.

131101330112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666744490 (or 7666744480 counting only the distinct ones).

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

Adding to 131101330112100 its reverse (1211033101131), we get a palindrome (132312363213231).

The spelling of 131101330112100 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred thirty million, one hundred twelve thousand, one hundred".