13054011040000 has 360 divisors, whose sum is σ = 37234232481600. Its totient is φ = 4473037824000.

The previous prime is 13054011039997. The next prime is 13054011040003. The reversal of 13054011040000 is 4011045031.

It is an interprime number because it is at equal distance from previous prime (13054011039997) and next prime (13054011040003).

It is a self number, because there is not a number n which added to its sum of digits gives 13054011040000.

It is not an unprimeable number, because it can be changed into a prime (13054011040003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3694878234 + ... + 3694881766.

It is an arithmetic number, because the mean of its divisors is an integer number (103428423560).

Almost surely, 2^{13054011040000} is an apocalyptic number.

13054011040000 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 13054011040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617116240800).

13054011040000 is an abundant number, since it is smaller than the sum of its proper divisors (24180221441600).

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

13054011040000 is an frugal number, since it uses more digits than its factorization.

13054011040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 13054011040000 its reverse (4011045031), we get a palindrome (13058022085031).

The spelling of 13054011040000 in words is "thirteen trillion, fifty-four billion, eleven million, forty thousand".