131103312020100 has 432 divisors, whose sum is σ = 482376716080896. Its totient is φ = 29153996928000.

The previous prime is 131103312020053. The next prime is 131103312020123. The reversal of 131103312020100 is 1020213301131.

131103312020100 is a `hidden beast` number, since 1 + 3 + 110 + 331 + 20 + 201 + 0 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 4098115105 + ... + 4098147095.

Almost surely, 2^{131103312020100} is an apocalyptic number.

131103312020100 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 131103312020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241188358040448).

131103312020100 is an abundant number, since it is smaller than the sum of its proper divisors (351273404060796).

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

131103312020100 is a wasteful number, since it uses less digits than its factorization.

131103312020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49636 (or 49626 counting only the distinct ones).

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

Adding to 131103312020100 its reverse (1020213301131), we get a palindrome (132123525321231).

The spelling of 131103312020100 in words is "one hundred thirty-one trillion, one hundred three billion, three hundred twelve million, twenty thousand, one hundred".