131134124121000 has 2048 divisors, whose sum is σ = 579017830809600. Its totient is φ = 23826216960000.

The previous prime is 131134124120981. The next prime is 131134124121019. The reversal of 131134124121000 is 121421431131.

It is an interprime number because it is at equal distance from previous prime (131134124120981) and next prime (131134124121019).

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 511 ways as a sum of consecutive naturals, for example, 4615596795 + ... + 4615625205.

It is an arithmetic number, because the mean of its divisors is an integer number (282723550200).

Almost surely, 2^{131134124121000} is an apocalyptic number.

131134124121000 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 131134124121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289508915404800).

131134124121000 is an abundant number, since it is smaller than the sum of its proper divisors (447883706688600).

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

131134124121000 is a wasteful number, since it uses less digits than its factorization.

131134124121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28548 (or 28534 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131134124121000 its reverse (121421431131), we get a palindrome (131255545552131).

The spelling of 131134124121000 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, one hundred twenty-four million, one hundred twenty-one thousand".