131221031300100 has 720 divisors, whose sum is σ = 497788426751616. Its totient is φ = 29275271424000.

The previous prime is 131221031300077. The next prime is 131221031300147. The reversal of 131221031300100 is 1003130122131.

131221031300100 is a `hidden beast` number, since 1 + 31 + 221 + 0 + 313 + 0 + 0 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3610807930 + ... + 3610844270.

Almost surely, 2^{131221031300100} is an apocalyptic number.

131221031300100 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 131221031300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248894213375808).

131221031300100 is an abundant number, since it is smaller than the sum of its proper divisors (366567395451516).

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

131221031300100 is a wasteful number, since it uses less digits than its factorization.

131221031300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37898 (or 37882 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131221031300100 its reverse (1003130122131), we get a palindrome (132224161422231).

The spelling of 131221031300100 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, thirty-one million, three hundred thousand, one hundred".