13048511201280 has 704 divisors, whose sum is σ = 47050013332800. Its totient is φ = 3473487691776.

The previous prime is 13048511201279. The next prime is 13048511201389. The reversal of 13048511201280 is 8210211584031.

It is a happy number.

13048511201280 is a `hidden beast` number, since 1 + 3 + 0 + 48 + 511 + 20 + 1 + 2 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22932356836 + ... + 22932357404.

Almost surely, 2^{13048511201280} is an apocalyptic number.

13048511201280 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 13048511201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525006666400).

13048511201280 is an abundant number, since it is smaller than the sum of its proper divisors (34001502131520).

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

13048511201280 is an frugal number, since it uses more digits than its factorization.

13048511201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 13048511201280 in words is "thirteen trillion, forty-eight billion, five hundred eleven million, two hundred one thousand, two hundred eighty".