130133344131000 has 384 divisors, whose sum is σ = 504940772044800. Its totient is φ = 29611376582400.

The previous prime is 130133344130939. The next prime is 130133344131001. The reversal of 130133344131000 is 131443331031.

130133344131000 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 3 + 344 + 1 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×130133344131000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130133344131001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9417591 + ... + 18680409.

It is an arithmetic number, because the mean of its divisors is an integer number (1314949927200).

Almost surely, 2^{130133344131000} is an apocalyptic number.

130133344131000 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 130133344131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252470386022400).

130133344131000 is an abundant number, since it is smaller than the sum of its proper divisors (374807427913800).

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

130133344131000 is a wasteful number, since it uses less digits than its factorization.

130133344131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9263076 (or 9263059 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 130133344131000 its reverse (131443331031), we get a palindrome (130264787462031).

The spelling of 130133344131000 in words is "one hundred thirty trillion, one hundred thirty-three billion, three hundred forty-four million, one hundred thirty-one thousand".