131011321300 has 72 divisors (see below), whose sum is σ = 299625510240. Its totient is φ = 49585334400.

The previous prime is 131011321297. The next prime is 131011321313. The reversal of 131011321300 is 3123110131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1517907 + ... + 1601893.

It is an arithmetic number, because the mean of its divisors is an integer number (4161465420).

Almost surely, 2^131011321300 is an apocalyptic number.

131011321300 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 131011321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149812755120).

131011321300 is an abundant number, since it is smaller than the sum of its proper divisors (168614188940).

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

131011321300 is a wasteful number, since it uses less digits than its factorization.

131011321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84841 (or 84834 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131011321300 its reverse (3123110131), we get a palindrome (134134431431).

The spelling of 131011321300 in words is "one hundred thirty-one billion, eleven million, three hundred twenty-one thousand, three hundred".