131101225550100 has 288 divisors, whose sum is σ = 453911973191040. Its totient is φ = 32269269473280.

The previous prime is 131101225550089. The next prime is 131101225550111. The reversal of 131101225550100 is 1055522101131.

It is a happy number.

131101225550100 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 1 + 2 + 2 + 5 + 550 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (131101225550089) and next prime (131101225550111).

It is a super-2 number, since 2×131101225550100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 694639947 + ... + 694828653.

Almost surely, 2^{131101225550100} is an apocalyptic number.

131101225550100 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 131101225550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226955986595520).

131101225550100 is an abundant number, since it is smaller than the sum of its proper divisors (322810747640940).

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

131101225550100 is a wasteful number, since it uses less digits than its factorization.

131101225550100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208536 (or 208523 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 131101225550100 its reverse (1055522101131), we get a palindrome (132156747651231).

The spelling of 131101225550100 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred twenty-five million, five hundred fifty thousand, one hundred".