43131000014000 has 320 divisors, whose sum is σ = 106775500216320. Its totient is φ = 16845880320000.

The previous prime is 43131000013973. The next prime is 43131000014051. The reversal of 43131000014000 is 41000013134.

It is a self number, because there is not a number n which added to its sum of digits gives 43131000014000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13258836374 + ... + 13258839626.

It is an arithmetic number, because the mean of its divisors is an integer number (333673438176).

Almost surely, 2^{43131000014000} is an apocalyptic number.

43131000014000 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 43131000014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53387750108160).

43131000014000 is an abundant number, since it is smaller than the sum of its proper divisors (63644500202320).

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

43131000014000 is a wasteful number, since it uses less digits than its factorization.

43131000014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 43131000014000 its reverse (41000013134), we get a palindrome (43172000027134).

The spelling of 43131000014000 in words is "forty-three trillion, one hundred thirty-one billion, fourteen thousand".