131142411114000 has 1280 divisors, whose sum is σ = 502627909754880. Its totient is φ = 28998681600000.

The previous prime is 131142411113969. The next prime is 131142411114019. The reversal of 131142411114000 is 411114241131.

It is a happy number.

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, 56067724831 + ... + 56067727169.

It is an arithmetic number, because the mean of its divisors is an integer number (392678054496).

Almost surely, 2^{131142411114000} is an apocalyptic number.

131142411114000 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 131142411114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251313954877440).

131142411114000 is an abundant number, since it is smaller than the sum of its proper divisors (371485498640880).

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

131142411114000 is a wasteful number, since it uses less digits than its factorization.

131142411114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 131142411114000 its reverse (411114241131), we get a palindrome (131553525355131).

The spelling of 131142411114000 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred eleven million, one hundred fourteen thousand".