131223312 has 120 divisors (see below), whose sum is σ = 411640320. Its totient is φ = 38672640.

The previous prime is 131223307. The next prime is 131223317. The reversal of 131223312 is 213322131.

131223312 is a `hidden beast` number, since 131 + 223 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (131223307) and next prime (131223317).

It is a super-2 number, since 2×131223312² = 34439115224498688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131223317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57489 + ... + 59727.

It is an arithmetic number, because the mean of its divisors is an integer number (3430336).

Almost surely, 2^131223312 is an apocalyptic number.

131223312 is a gapful number since it is divisible by the number (12) 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 131223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

131223312 is an abundant number, since it is smaller than the sum of its proper divisors (280417008).

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

131223312 is a wasteful number, since it uses less digits than its factorization.

131223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2292 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131223312 is about 11455.2744183629. The cubic root of 131223312 is about 508.1637308840.

Adding to 131223312 its reverse (213322131), we get a palindrome (344545443).

The spelling of 131223312 in words is "one hundred thirty-one million, two hundred twenty-three thousand, three hundred twelve".