131131100100000 has 5184 divisors, whose sum is σ = 609263031920256. Its totient is φ = 24446822400000.

The previous prime is 131131100099941. The next prime is 131131100100017. The reversal of 131131100100000 is 1001131131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1225524299947 + ... + 1225524300053.

It is an arithmetic number, because the mean of its divisors is an integer number (117527591034).

Almost surely, 2^{131131100100000} is an apocalyptic number.

131131100100000 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 131131100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304631515960128).

131131100100000 is an abundant number, since it is smaller than the sum of its proper divisors (478131931820256).

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

131131100100000 is a wasteful number, since it uses less digits than its factorization.

131131100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 131131100100000 its reverse (1001131131), we get a palindrome (131132101231131).

The spelling of 131131100100000 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, one hundred million, one hundred thousand".