131045220 has 72 divisors (see below), whose sum is σ = 402989496. Its totient is φ = 34463232.

The previous prime is 131045219. The next prime is 131045221. The reversal of 131045220 is 22540131.

It is an interprime number because it is at equal distance from previous prime (131045219) and next prime (131045221).

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 128459556 = 1608^2 + 11334^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 131045193 and 131045202.

It is not an unprimeable number, because it can be changed into a prime (131045221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8154 + ... + 18126.

Almost surely, 2^131045220 is an apocalyptic number.

131045220 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 131045220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201494748).

131045220 is an abundant number, since it is smaller than the sum of its proper divisors (271944276).

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

131045220 is a wasteful number, since it uses less digits than its factorization.

131045220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131045220 is about 11447.4984166848. The cubic root of 131045220 is about 507.9337390585.

Adding to 131045220 its reverse (22540131), we get a palindrome (153585351).

The spelling of 131045220 in words is "one hundred thirty-one million, forty-five thousand, two hundred twenty".