131012220 has 96 divisors (see below), whose sum is σ = 395700480. Its totient is φ = 32279040.

The previous prime is 131012213. The next prime is 131012249. The reversal of 131012220 is 22210131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131012196 and 131012205.

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 31 ways as a sum of consecutive naturals, for example, 45339 + ... + 48141.

It is an arithmetic number, because the mean of its divisors is an integer number (4121880).

Almost surely, 2^131012220 is an apocalyptic number.

131012220 is a gapful number since it is divisible by the number (10) 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 131012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197850240).

131012220 is an abundant number, since it is smaller than the sum of its proper divisors (264688260).

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

131012220 is a wasteful number, since it uses less digits than its factorization.

131012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131012220 is about 11446.0569629895. The cubic root of 131012220 is about 507.8910992720.

Adding to 131012220 its reverse (22210131), we get a palindrome (153222351).

It can be divided in two parts, 1310 and 12220, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 131012220 in words is "one hundred thirty-one million, twelve thousand, two hundred twenty".