131301333012300 has 288 divisors, whose sum is σ = 415218709301760. Its totient is φ = 31770449510400.

The previous prime is 131301333012247. The next prime is 131301333012319. The reversal of 131301333012300 is 3210333103131.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7381031806 + ... + 7381049594.

It is an arithmetic number, because the mean of its divisors is an integer number (1441731629520).

Almost surely, 2^{131301333012300} is an apocalyptic number.

131301333012300 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 131301333012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207609354650880).

131301333012300 is an abundant number, since it is smaller than the sum of its proper divisors (283917376289460).

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

131301333012300 is a wasteful number, since it uses less digits than its factorization.

131301333012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21921 (or 21914 counting only the distinct ones).

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

Adding to 131301333012300 its reverse (3210333103131), we get a palindrome (134511666115431).

The spelling of 131301333012300 in words is "one hundred thirty-one trillion, three hundred one billion, three hundred thirty-three million, twelve thousand, three hundred".