131103133000 has 512 divisors, whose sum is σ = 384296140800. Its totient is φ = 40846848000.

The previous prime is 131103132997. The next prime is 131103133001. The reversal of 131103133000 is 331301131.

It is not an unprimeable number, because it can be changed into a prime (131103133001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 498490869 + ... + 498491131.

It is an arithmetic number, because the mean of its divisors is an integer number (750578400).

Almost surely, 2^131103133000 is an apocalyptic number.

131103133000 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 131103133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192148070400).

131103133000 is an abundant number, since it is smaller than the sum of its proper divisors (253193007800).

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

131103133000 is a wasteful number, since it uses less digits than its factorization.

131103133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 131103133000 its reverse (331301131), we get a palindrome (131434434131).

The spelling of 131103133000 in words is "one hundred thirty-one billion, one hundred three million, one hundred thirty-three thousand".