131320201001220 has 576 divisors, whose sum is σ = 522983701094400. Its totient is φ = 25840448824320.

The previous prime is 131320201001219. The next prime is 131320201001221. The reversal of 131320201001220 is 22100102023131.

131320201001220 is a `hidden beast` number, since 1 + 3 + 1 + 320 + 20 + 100 + 1 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (131320201001219) and next prime (131320201001221).

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 = 131320201001193 and 131320201001202.

It is not an unprimeable number, because it can be changed into a prime (131320201001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 644291086 + ... + 644494874.

It is an arithmetic number, because the mean of its divisors is an integer number (907957814400).

Almost surely, 2^{131320201001220} is an apocalyptic number.

131320201001220 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 131320201001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261491850547200).

131320201001220 is an abundant number, since it is smaller than the sum of its proper divisors (391663500093180).

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

131320201001220 is a wasteful number, since it uses less digits than its factorization.

131320201001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206288 (or 206283 counting only the distinct ones).

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

Adding to 131320201001220 its reverse (22100102023131), we get a palindrome (153420303024351).

The spelling of 131320201001220 in words is "one hundred thirty-one trillion, three hundred twenty billion, two hundred one million, one thousand, two hundred twenty".