131134121430000 has 800 divisors, whose sum is σ = 470107960498176. Its totient is φ = 31285204992000.

The previous prime is 131134121429939. The next prime is 131134121430043. The reversal of 131134121430000 is 34121431131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1887955272 + ... + 1888024728.

Almost surely, 2^{131134121430000} is an apocalyptic number.

131134121430000 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 131134121430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235053980249088).

131134121430000 is an abundant number, since it is smaller than the sum of its proper divisors (338973839068176).

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

131134121430000 is a wasteful number, since it uses less digits than its factorization.

131134121430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69651 (or 69630 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131134121430000 its reverse (34121431131), we get a palindrome (131168242861131).

The spelling of 131134121430000 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, one hundred twenty-one million, four hundred thirty thousand".