131131330000220 has 384 divisors, whose sum is σ = 325655752181760. Its totient is φ = 43845874974720.

The previous prime is 131131330000217. The next prime is 131131330000249. The reversal of 131131330000220 is 22000033131131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131131330000192 and 131131330000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27222611252 + ... + 27222616068.

It is an arithmetic number, because the mean of its divisors is an integer number (848061854640).

Almost surely, 2^{131131330000220} is an apocalyptic number.

131131330000220 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 131131330000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162827876090880).

131131330000220 is an abundant number, since it is smaller than the sum of its proper divisors (194524422181540).

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

131131330000220 is a wasteful number, since it uses less digits than its factorization.

131131330000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131131330000220 its reverse (22000033131131), we get a palindrome (153131363131351).

The spelling of 131131330000220 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, three hundred thirty million, two hundred twenty", and thus it is an aban number.