13011324480 has 672 divisors, whose sum is σ = 58245378048. Its totient is φ = 2585088000.

The previous prime is 13011324479. The next prime is 13011324481. The reversal of 13011324480 is 8442311031.

It is an interprime number because it is at equal distance from previous prime (13011324479) and next prime (13011324481).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (13011324481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5099205 + ... + 5101755.

Almost surely, 2^13011324480 is an apocalyptic number.

13011324480 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 13011324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29122689024).

13011324480 is an abundant number, since it is smaller than the sum of its proper divisors (45234053568).

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

13011324480 is a wasteful number, since it uses less digits than its factorization.

13011324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 13011324480 in words is "thirteen billion, eleven million, three hundred twenty-four thousand, four hundred eighty".