131201322120 has 384 divisors, whose sum is σ = 470180505600. Its totient is φ = 31465843200.

The previous prime is 131201322097. The next prime is 131201322121. The reversal of 131201322120 is 21223102131.

131201322120 is a `hidden beast` number, since 131 + 201 + 322 + 12 + 0 = 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 = 131201322093 and 131201322102.

It is not an unprimeable number, because it can be changed into a prime (131201322121) 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, 192095299 + ... + 192095981.

It is an arithmetic number, because the mean of its divisors is an integer number (1224428400).

Almost surely, 2^131201322120 is an apocalyptic number.

131201322120 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 131201322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235090252800).

131201322120 is an abundant number, since it is smaller than the sum of its proper divisors (338979183480).

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

131201322120 is a wasteful number, since it uses less digits than its factorization.

131201322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131201322120 its reverse (21223102131), we get a palindrome (152424424251).

The spelling of 131201322120 in words is "one hundred thirty-one billion, two hundred one million, three hundred twenty-two thousand, one hundred twenty".