131202104421300 has 288 divisors, whose sum is σ = 417946739946624. Its totient is φ = 31512993792000.

The previous prime is 131202104421293. The next prime is 131202104421317. The reversal of 131202104421300 is 3124401202131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 990729090 + ... + 990861510.

It is an arithmetic number, because the mean of its divisors is an integer number (1451203958148).

Almost surely, 2^{131202104421300} is an apocalyptic number.

131202104421300 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 131202104421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208973369973312).

131202104421300 is an abundant number, since it is smaller than the sum of its proper divisors (286744635525324).

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

131202104421300 is a wasteful number, since it uses less digits than its factorization.

131202104421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135219 (or 135212 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131202104421300 its reverse (3124401202131), we get a palindrome (134326505623431).

The spelling of 131202104421300 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred four million, four hundred twenty-one thousand, three hundred".