131134203321000 has 512 divisors, whose sum is σ = 461832092467200. Its totient is φ = 30691098240000.

The previous prime is 131134203320987. The next prime is 131134203321007. The reversal of 131134203321000 is 123302431131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131134203321007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 428484034 + ... + 428789966.

It is an arithmetic number, because the mean of its divisors is an integer number (902015805600).

Almost surely, 2^{131134203321000} is an apocalyptic number.

131134203321000 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 131134203321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230916046233600).

131134203321000 is an abundant number, since it is smaller than the sum of its proper divisors (330697889146200).

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

131134203321000 is a wasteful number, since it uses less digits than its factorization.

131134203321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306418 (or 306404 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131134203321000 its reverse (123302431131), we get a palindrome (131257505752131).

The spelling of 131134203321000 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, two hundred three million, three hundred twenty-one thousand".