131410314300 has 144 divisors (see below), whose sum is σ = 385368112640. Its totient is φ = 34568501760.

The previous prime is 131410314293. The next prime is 131410314311. The reversal of 131410314300 is 3413014131.

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 47 ways as a sum of consecutive naturals, for example, 41544519 + ... + 41547681.

Almost surely, 2^131410314300 is an apocalyptic number.

131410314300 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 131410314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192684056320).

131410314300 is an abundant number, since it is smaller than the sum of its proper divisors (253957798340).

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

131410314300 is a wasteful number, since it uses less digits than its factorization.

131410314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131410314300 its reverse (3413014131), we get a palindrome (134823328431).

The spelling of 131410314300 in words is "one hundred thirty-one billion, four hundred ten million, three hundred fourteen thousand, three hundred".