131202121311300 has 576 divisors, whose sum is σ = 433396983317760. Its totient is φ = 30409580544000.

The previous prime is 131202121311293. The next prime is 131202121311311. The reversal of 131202121311300 is 3113121202131.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17440129339 + ... + 17440136861.

It is an arithmetic number, because the mean of its divisors is an integer number (752425318260).

Almost surely, 2^{131202121311300} is an apocalyptic number.

131202121311300 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 131202121311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216698491658880).

131202121311300 is an abundant number, since it is smaller than the sum of its proper divisors (302194862006460).

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

131202121311300 is a wasteful number, since it uses less digits than its factorization.

131202121311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384 (or 11377 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131202121311300 its reverse (3113121202131), we get a palindrome (134315242513431).

The spelling of 131202121311300 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred twenty-one million, three hundred eleven thousand, three hundred".