131221031322100 has 18 divisors (see below), whose sum is σ = 284749637969174. Its totient is φ = 52488412528800.

The previous prime is 131221031322053. The next prime is 131221031322103. The reversal of 131221031322100 is 1223130122131.

It can be written as a sum of positive squares in 3 ways, for example, as 4269703138276 + 126951328183824 = 2066326^2 + 11267268^2 .

It is a super-2 number, since 2×131221031322100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221031322103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656105156511 + ... + 656105156710.

Almost surely, 2^{131221031322100} is an apocalyptic number.

131221031322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221031322100 is an abundant number, since it is smaller than the sum of its proper divisors (153528606647074).

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

131221031322100 is a wasteful number, since it uses less digits than its factorization.

131221031322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312210313235 (or 1312210313228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 131221031322100 its reverse (1223130122131), we get a palindrome (132444161444231).

The spelling of 131221031322100 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, thirty-one million, three hundred twenty-two thousand, one hundred".