13000442433000 has 768 divisors, whose sum is σ = 46437290565120. Its totient is φ = 3023032320000.

The previous prime is 13000442432969. The next prime is 13000442433031. The reversal of 13000442433000 is 33424400031.

It is an interprime number because it is at equal distance from previous prime (13000442432969) and next prime (13000442433031).

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 191 ways as a sum of consecutive naturals, for example, 953594184 + ... + 953607816.

It is an arithmetic number, because the mean of its divisors is an integer number (60465222090).

Almost surely, 2^{13000442433000} is an apocalyptic number.

13000442433000 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 13000442433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218645282560).

13000442433000 is an abundant number, since it is smaller than the sum of its proper divisors (33436848132120).

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

13000442433000 is a wasteful number, since it uses less digits than its factorization.

13000442433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13787 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13000442433000 its reverse (33424400031), we get a palindrome (13033866833031).

The spelling of 13000442433000 in words is "thirteen trillion, four hundred forty-two million, four hundred thirty-three thousand".