4131240113000 has 512 divisors, whose sum is σ = 13002585523200. Its totient is φ = 1186504704000.

The previous prime is 4131240112997. The next prime is 4131240113003. The reversal of 4131240113000 is 3110421314.

It is an interprime number because it is at equal distance from previous prime (4131240112997) and next prime (4131240113003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4131240113003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 617613656 + ... + 617620344.

It is an arithmetic number, because the mean of its divisors is an integer number (25395674850).

Almost surely, 2^{4131240113000} is an apocalyptic number.

4131240113000 is a gapful number since it is divisible by the number (40) 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 4131240113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501292761600).

4131240113000 is an abundant number, since it is smaller than the sum of its proper divisors (8871345410200).

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

4131240113000 is a wasteful number, since it uses less digits than its factorization.

4131240113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7358 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 4131240113000 its reverse (3110421314), we get a palindrome (4134350534314).

The spelling of 4131240113000 in words is "four trillion, one hundred thirty-one billion, two hundred forty million, one hundred thirteen thousand".