13182281280 has 896 divisors, whose sum is σ = 56180736000. Its totient is φ = 2846638080.

The previous prime is 13182281257. The next prime is 13182281309. The reversal of 13182281280 is 8218228131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148115476 + ... + 148115564.

Almost surely, 2^13182281280 is an apocalyptic number.

13182281280 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 13182281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28090368000).

13182281280 is an abundant number, since it is smaller than the sum of its proper divisors (42998454720).

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

13182281280 is a wasteful number, since it uses less digits than its factorization.

13182281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 13182281280 in words is "thirteen billion, one hundred eighty-two million, two hundred eighty-one thousand, two hundred eighty".