131115310041120 has 192 divisors, whose sum is σ = 416689339288320. Its totient is φ = 34652908781568.

The previous prime is 131115310041109. The next prime is 131115310041137. The reversal of 131115310041120 is 21140013511131.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339516341 + ... + 1339614219.

It is an arithmetic number, because the mean of its divisors is an integer number (2170256975460).

Almost surely, 2^{131115310041120} is an apocalyptic number.

131115310041120 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 131115310041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208344669644160).

131115310041120 is an abundant number, since it is smaller than the sum of its proper divisors (285574029247200).

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

131115310041120 is a wasteful number, since it uses less digits than its factorization.

131115310041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122707 (or 122699 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 131115310041120 its reverse (21140013511131), we get a palindrome (152255323552251).

The spelling of 131115310041120 in words is "one hundred thirty-one trillion, one hundred fifteen billion, three hundred ten million, forty-one thousand, one hundred twenty".