131020431402300 has 288 divisors, whose sum is σ = 419858549832960. Its totient is φ = 31278169190400.

The previous prime is 131020431402299. The next prime is 131020431402353. The reversal of 131020431402300 is 3204134020131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682881982 + ... + 683073818.

It is an arithmetic number, because the mean of its divisors is an integer number (1457842186920).

Almost surely, 2^{131020431402300} is an apocalyptic number.

131020431402300 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 131020431402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209929274916480).

131020431402300 is an abundant number, since it is smaller than the sum of its proper divisors (288838118430660).

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

131020431402300 is a wasteful number, since it uses less digits than its factorization.

131020431402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195021 (or 195014 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131020431402300 its reverse (3204134020131), we get a palindrome (134224565422431).

The spelling of 131020431402300 in words is "one hundred thirty-one trillion, twenty billion, four hundred thirty-one million, four hundred two thousand, three hundred".