131141330133000 has 256 divisors, whose sum is σ = 446664760439040. Its totient is φ = 31769945856000.

The previous prime is 131141330132977. The next prime is 131141330133007. The reversal of 131141330133000 is 331033141131.

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 (131141330133007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46581492 + ... + 49316508.

It is an arithmetic number, because the mean of its divisors is an integer number (1744784220465).

Almost surely, 2^{131141330133000} is an apocalyptic number.

131141330133000 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 131141330133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223332380219520).

131141330133000 is an abundant number, since it is smaller than the sum of its proper divisors (315523430306040).

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

131141330133000 is a wasteful number, since it uses less digits than its factorization.

131141330133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736505 (or 2736491 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131141330133000 its reverse (331033141131), we get a palindrome (131472363274131).

It can be divided in two parts, 1311413 and 30133000, that added together give a palindrome (31444413).

The spelling of 131141330133000 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred thirty million, one hundred thirty-three thousand".