13002014113000 has 256 divisors, whose sum is σ = 34151808487680. Its totient is φ = 4592848000000.

The previous prime is 13002014112973. The next prime is 13002014113057. The reversal of 13002014113000 is 31141020031.

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, 58772595 + ... + 58993405.

It is an arithmetic number, because the mean of its divisors is an integer number (133405501905).

Almost surely, 2^{13002014113000} is an apocalyptic number.

13002014113000 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 13002014113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075904243840).

13002014113000 is an abundant number, since it is smaller than the sum of its proper divisors (21149794374680).

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

13002014113000 is a wasteful number, since it uses less digits than its factorization.

13002014113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220997 (or 220983 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13002014113000 its reverse (31141020031), we get a palindrome (13033155133031).

The spelling of 13002014113000 in words is "thirteen trillion, two billion, fourteen million, one hundred thirteen thousand".