131003311121100 has 864 divisors, whose sum is σ = 496616054538240. Its totient is φ = 28537318656000.

The previous prime is 131003311121083. The next prime is 131003311121149. The reversal of 131003311121100 is 1121113300131.

131003311121100 is a `hidden beast` number, since 1 + 310 + 0 + 33 + 111 + 211 + 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 287 ways as a sum of consecutive naturals, for example, 244054005 + ... + 244590195.

It is an arithmetic number, because the mean of its divisors is an integer number (574787100160).

Almost surely, 2^{131003311121100} is an apocalyptic number.

131003311121100 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 131003311121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248308027269120).

131003311121100 is an abundant number, since it is smaller than the sum of its proper divisors (365612743417140).

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

131003311121100 is a wasteful number, since it uses less digits than its factorization.

131003311121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536311 (or 536301 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131003311121100 its reverse (1121113300131), we get a palindrome (132124424421231).

The spelling of 131003311121100 in words is "one hundred thirty-one trillion, three billion, three hundred eleven million, one hundred twenty-one thousand, one hundred".