131333012100 has 216 divisors, whose sum is σ = 436383897768. Its totient is φ = 32923238400.

The previous prime is 131333012059. The next prime is 131333012123. The reversal of 131333012100 is 1210333131.

It is a happy number.

131333012100 is a `hidden beast` number, since 1 + 313 + 330 + 1 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 60861876804 + 70471135296 = 246702^2 + 265464^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 14331520 + ... + 14340680.

It is an arithmetic number, because the mean of its divisors is an integer number (2020295823).

Almost surely, 2^131333012100 is an apocalyptic number.

131333012100 is a gapful number since it is divisible by the number (10) 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 131333012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218191948884).

131333012100 is an abundant number, since it is smaller than the sum of its proper divisors (305050885668).

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

131333012100 is a wasteful number, since it uses less digits than its factorization.

131333012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10125 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131333012100 its reverse (1210333131), we get a palindrome (132543345231).

The spelling of 131333012100 in words is "one hundred thirty-one billion, three hundred thirty-three million, twelve thousand, one hundred".