13002583412260 has 96 divisors (see below), whose sum is σ = 31146879697920. Its totient is φ = 4516907563008.

The previous prime is 13002583412251. The next prime is 13002583412261. The reversal of 13002583412260 is 6221438520031.

It is not an unprimeable number, because it can be changed into a prime (13002583412261) 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 31 ways as a sum of consecutive naturals, for example, 11698561 + ... + 12761719.

It is an arithmetic number, because the mean of its divisors is an integer number (324446663520).

Almost surely, 2^{13002583412260} is an apocalyptic number.

13002583412260 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 13002583412260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573439848960).

13002583412260 is an abundant number, since it is smaller than the sum of its proper divisors (18144296285660).

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

13002583412260 is a wasteful number, since it uses less digits than its factorization.

13002583412260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065965 (or 1065963 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 13002583412260 in words is "thirteen trillion, two billion, five hundred eighty-three million, four hundred twelve thousand, two hundred sixty".