131220333270 has 192 divisors, whose sum is σ = 387330390720. Its totient is φ = 30554827776.

The previous prime is 131220333269. The next prime is 131220333271. The reversal of 131220333270 is 72333022131.

131220333270 is a `hidden beast` number, since 1 + 312 + 20 + 3 + 3 + 327 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131220333269) and next prime (131220333271).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131220333271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16290564 + ... + 16298616.

It is an arithmetic number, because the mean of its divisors is an integer number (2017345785).

Almost surely, 2^131220333270 is an apocalyptic number.

131220333270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131220333270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193665195360).

131220333270 is an abundant number, since it is smaller than the sum of its proper divisors (256110057450).

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

131220333270 is a wasteful number, since it uses less digits than its factorization.

131220333270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831 (or 8828 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 131220333270 in words is "one hundred thirty-one billion, two hundred twenty million, three hundred thirty-three thousand, two hundred seventy".