13030145280 has 432 divisors, whose sum is σ = 48307896000. Its totient is φ = 3232825344.

The previous prime is 13030145197. The next prime is 13030145281. The reversal of 13030145280 is 8254103031.

It is a happy number.

13030145280 is a `hidden beast` number, since 130 + 3 + 0 + 1 + 4 + 528 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030145281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12913416 + ... + 12914424.

Almost surely, 2^13030145280 is an apocalyptic number.

13030145280 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 13030145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24153948000).

13030145280 is an abundant number, since it is smaller than the sum of its proper divisors (35277750720).

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

13030145280 is a wasteful number, since it uses less digits than its factorization.

13030145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 13030145280 in words is "thirteen billion, thirty million, one hundred forty-five thousand, two hundred eighty".