131334130122000 has 1280 divisors, whose sum is σ = 513268378721280. Its totient is φ = 28539371520000.

The previous prime is 131334130121993. The next prime is 131334130122011. The reversal of 131334130122000 is 221031433131.

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

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2544568194 + ... + 2544619806.

It is an arithmetic number, because the mean of its divisors is an integer number (400990920876).

Almost surely, 2^{131334130122000} is an apocalyptic number.

131334130122000 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 131334130122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256634189360640).

131334130122000 is an abundant number, since it is smaller than the sum of its proper divisors (381934248599280).

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

131334130122000 is a wasteful number, since it uses less digits than its factorization.

131334130122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51789 (or 51773 counting only the distinct ones).

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

Adding to 131334130122000 its reverse (221031433131), we get a palindrome (131555161555131).

The spelling of 131334130122000 in words is "one hundred thirty-one trillion, three hundred thirty-four billion, one hundred thirty million, one hundred twenty-two thousand".