131233421320100 has 144 divisors (see below), whose sum is σ = 317907411123456. Its totient is φ = 46608905616000.

The previous prime is 131233421320097. The next prime is 131233421320129. The reversal of 131233421320100 is 1023124332131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131233421320100.

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 47 ways as a sum of consecutive naturals, for example, 1009648115 + ... + 1009778085.

It is an arithmetic number, because the mean of its divisors is an integer number (2207690355024).

Almost surely, 2^{131233421320100} is an apocalyptic number.

131233421320100 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 131233421320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158953705561728).

131233421320100 is an abundant number, since it is smaller than the sum of its proper divisors (186673989803356).

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

131233421320100 is a wasteful number, since it uses less digits than its factorization.

131233421320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151386 (or 151379 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 131233421320100 its reverse (1023124332131), we get a palindrome (132256545652231).

The spelling of 131233421320100 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, four hundred twenty-one million, three hundred twenty thousand, one hundred".