131221231011000 has 256 divisors, whose sum is σ = 489892597084800. Its totient is φ = 32300610624000.

The previous prime is 131221231010921. The next prime is 131221231011007. The reversal of 131221231011000 is 110132122131.

131221231011000 is a `hidden beast` number, since 1 + 31 + 2 + 212 + 310 + 110 + 0 + 0 = 666.

It is a super-2 number, since 2×131221231011000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221231011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186573831 + ... + 187275830.

Almost surely, 2^{131221231011000} is an apocalyptic number.

131221231011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221231011000 is an abundant number, since it is smaller than the sum of its proper divisors (358671366073800).

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

131221231011000 is a wasteful number, since it uses less digits than its factorization.

131221231011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373849704 (or 373849684 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131221231011000 its reverse (110132122131), we get a palindrome (131331363133131).

The spelling of 131221231011000 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, two hundred thirty-one million, eleven thousand".