13011111113000 has 512 divisors, whose sum is σ = 41571590860800. Its totient is φ = 3679991424000.

The previous prime is 13011111112939. The next prime is 13011111113009. The reversal of 13011111113000 is 31111111031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (13011111113009) 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 127 ways as a sum of consecutive naturals, for example, 58948847 + ... + 59169153.

It is an arithmetic number, because the mean of its divisors is an integer number (81194513400).

Almost surely, 2^{13011111113000} is an apocalyptic number.

13011111113000 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 13011111113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785795430400).

13011111113000 is an abundant number, since it is smaller than the sum of its proper divisors (28560479747800).

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

13011111113000 is a wasteful number, since it uses less digits than its factorization.

13011111113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220418 (or 220404 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 13011111113000 its reverse (31111111031), we get a palindrome (13042222224031).

The spelling of 13011111113000 in words is "thirteen trillion, eleven billion, one hundred eleven million, one hundred thirteen thousand".