131221321100010 has 32 divisors (see below), whose sum is σ = 349923522934080. Its totient is φ = 34992352293264.

The previous prime is 131221321099949. The next prime is 131221321100011. The reversal of 131221321100010 is 10001123122131.

131221321100010 is a `hidden beast` number, since 1 + 312 + 21 + 321 + 1 + 0 + 0 + 0 + 10 = 666.

It is a super-2 number, since 2×131221321100010² (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 not an unprimeable number, because it can be changed into a prime (131221321100011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243002446212 + ... + 243002446751.

It is an arithmetic number, because the mean of its divisors is an integer number (10935110091690).

Almost surely, 2^{131221321100010} is an apocalyptic number.

131221321100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131221321100010 is an abundant number, since it is smaller than the sum of its proper divisors (218702201834070).

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

131221321100010 is a wasteful number, since it uses less digits than its factorization.

131221321100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486004892979 (or 486004892973 counting only the distinct ones).

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

Adding to 131221321100010 its reverse (10001123122131), we get a palindrome (141222444222141).

The spelling of 131221321100010 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred twenty-one million, one hundred thousand, ten".