131424330321306 has 192 divisors, whose sum is σ = 321874336143360. Its totient is φ = 39420914850720.

The previous prime is 131424330321293. The next prime is 131424330321419. The reversal of 131424330321306 is 603123033424131.

131424330321306 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 43 + 303 + 2 + 1 + 306 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9024529581 + ... + 9024544143.

It is an arithmetic number, because the mean of its divisors is an integer number (1676428834080).

Almost surely, 2^{131424330321306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131424330321306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160937168071680).

131424330321306 is an abundant number, since it is smaller than the sum of its proper divisors (190450005822054).

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

131424330321306 is a wasteful number, since it uses less digits than its factorization.

131424330321306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16126 (or 16013 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 131424330321306 its reverse (603123033424131), we get a palindrome (734547363745437).

The spelling of 131424330321306 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, three hundred thirty million, three hundred twenty-one thousand, three hundred six".