131123331210300 has 432 divisors, whose sum is σ = 449622498984960. Its totient is φ = 29307222489600.

The previous prime is 131123331210299. The next prime is 131123331210329. The reversal of 131123331210300 is 3012133321131.

131123331210300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131123331210300³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 395758509 + ... + 396089691.

Almost surely, 2^{131123331210300} is an apocalyptic number.

131123331210300 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 131123331210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224811249492480).

131123331210300 is an abundant number, since it is smaller than the sum of its proper divisors (318499167774660).

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

131123331210300 is a wasteful number, since it uses less digits than its factorization.

131123331210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332074 (or 332056 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131123331210300 its reverse (3012133321131), we get a palindrome (134135464531431).

The spelling of 131123331210300 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, three hundred thirty-one million, two hundred ten thousand, three hundred".