13000733207000 has 256 divisors, whose sum is σ = 38182959360000. Its totient is φ = 4024977216000.

The previous prime is 13000733206961. The next prime is 13000733207029. The reversal of 13000733207000 is 70233700031.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10906421 + ... + 12039579.

It is an arithmetic number, because the mean of its divisors is an integer number (149152185000).

Almost surely, 2^{13000733207000} is an apocalyptic number.

13000733207000 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 13000733207000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19091479680000).

13000733207000 is an abundant number, since it is smaller than the sum of its proper divisors (25182226153000).

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

13000733207000 is a wasteful number, since it uses less digits than its factorization.

13000733207000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133347 (or 1133333 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 26.

Adding to 13000733207000 its reverse (70233700031), we get a palindrome (13070966907031).

The spelling of 13000733207000 in words is "thirteen trillion, seven hundred thirty-three million, two hundred seven thousand".