131301323323110 has 128 divisors (see below), whose sum is σ = 361503670763520. Its totient is φ = 33877455811200.

The previous prime is 131301323323031. The next prime is 131301323323111. The reversal of 131301323323110 is 11323323103131.

131301323323110 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 1 + 323 + 323 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301323323111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40480980 + ... + 43604040.

It is an arithmetic number, because the mean of its divisors is an integer number (2824247427840).

Almost surely, 2^{131301323323110} is an apocalyptic number.

131301323323110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131301323323110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180751835381760).

131301323323110 is an abundant number, since it is smaller than the sum of its proper divisors (230202347440410).

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

131301323323110 is a wasteful number, since it uses less digits than its factorization.

131301323323110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128131 (or 3128125 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131301323323110 its reverse (11323323103131), we get a palindrome (142624646426241).

The spelling of 131301323323110 in words is "one hundred thirty-one trillion, three hundred one billion, three hundred twenty-three million, three hundred twenty-three thousand, one hundred ten".