131351220 has 432 divisors, whose sum is σ = 555504768. Its totient is φ = 25194240.

The previous prime is 131351219. The next prime is 131351257. The reversal of 131351220 is 22153131.

131351220 is a `hidden beast` number, since 131 + 3 + 512 + 20 = 666.

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 = 131351193 and 131351202.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 10103934 + ... + 10103946.

Almost surely, 2^131351220 is an apocalyptic number.

131351220 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 131351220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277752384).

131351220 is an abundant number, since it is smaller than the sum of its proper divisors (424153548).

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

131351220 is a wasteful number, since it uses less digits than its factorization.

131351220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131351220 is about 11460.8559889739. The cubic root of 131351220 is about 508.3287856501.

The spelling of 131351220 in words is "one hundred thirty-one million, three hundred fifty-one thousand, two hundred twenty".