131022301220100 has 216 divisors, whose sum is σ = 424886336784000. Its totient is φ = 33731082228480.

The previous prime is 131022301220087. The next prime is 131022301220137. The reversal of 131022301220100 is 1022103220131.

131022301220100 is a `hidden beast` number, since 1 + 310 + 2 + 2 + 30 + 1 + 220 + 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 71 ways as a sum of consecutive naturals, for example, 264380341 + ... + 264875459.

It is an arithmetic number, because the mean of its divisors is an integer number (1967066374000).

Almost surely, 2^{131022301220100} is an apocalyptic number.

131022301220100 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 131022301220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212443168392000).

131022301220100 is an abundant number, since it is smaller than the sum of its proper divisors (293864035563900).

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

131022301220100 is a wasteful number, since it uses less digits than its factorization.

131022301220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505307 (or 505297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131022301220100 its reverse (1022103220131), we get a palindrome (132044404440231).

The spelling of 131022301220100 in words is "one hundred thirty-one trillion, twenty-two billion, three hundred one million, two hundred twenty thousand, one hundred".