131233303301100 has 864 divisors, whose sum is σ = 534898188324864. Its totient is φ = 24077187763200.

The previous prime is 131233303301057. The next prime is 131233303301167. The reversal of 131233303301100 is 1103303332131.

It is a super-2 number, since 2×131233303301100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89058919 + ... + 90520481.

It is an arithmetic number, because the mean of its divisors is an integer number (619095125376).

Almost surely, 2^{131233303301100} is an apocalyptic number.

131233303301100 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 131233303301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267449094162432).

131233303301100 is an abundant number, since it is smaller than the sum of its proper divisors (403664885023764).

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

131233303301100 is a wasteful number, since it uses less digits than its factorization.

131233303301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461647 (or 1461627 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131233303301100 its reverse (1103303332131), we get a palindrome (132336606633231).

The spelling of 131233303301100 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, three hundred three million, three hundred one thousand, one hundred".