131022304 has 48 divisors (see below), whose sum is σ = 295813728. Its totient is φ = 55959552.

The previous prime is 131022293. The next prime is 131022313. The reversal of 131022304 is 403220131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 78244 + ... + 79900.

It is an arithmetic number, because the mean of its divisors is an integer number (6162786).

Almost surely, 2^131022304 is an apocalyptic number.

131022304 is a gapful number since it is divisible by the number (14) 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 131022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147906864).

131022304 is an abundant number, since it is smaller than the sum of its proper divisors (164791424).

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

131022304 is a wasteful number, since it uses less digits than its factorization.

131022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 131022304 is about 11446.4974555538. The cubic root of 131022304 is about 507.9041297167.

Adding to 131022304 its reverse (403220131), we get a palindrome (534242435).

The spelling of 131022304 in words is "one hundred thirty-one million, twenty-two thousand, three hundred four".