131211312 has 40 divisors (see below), whose sum is σ = 350654640. Its totient is φ = 42228480.

The previous prime is 131211307. The next prime is 131211317. The reversal of 131211312 is 213112131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131211307) and next prime (131211317).

It is a super-2 number, since 2×131211312² = 34432816793522688, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131211291 and 131211300.

It is not an unprimeable number, because it can be changed into a prime (131211317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45739 + ... + 48522.

It is an arithmetic number, because the mean of its divisors is an integer number (8766366).

Almost surely, 2^131211312 is an apocalyptic number.

131211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131211312 is an abundant number, since it is smaller than the sum of its proper divisors (219443328).

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

131211312 is a wasteful number, since it uses less digits than its factorization.

131211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94301 (or 94295 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 131211312 is about 11454.7506301971. The cubic root of 131211312 is about 508.1482403674.

Adding to 131211312 its reverse (213112131), we get a palindrome (344323443).

The spelling of 131211312 in words is "one hundred thirty-one million, two hundred eleven thousand, three hundred twelve".