13127298048 has 220 divisors, whose sum is σ = 39614068032. Its totient is φ = 4329676800.

The previous prime is 13127298013. The next prime is 13127298049. The reversal of 13127298048 is 84089272131.

It is a happy number.

13127298048 is a `hidden beast` number, since 1 + 312 + 7 + 298 + 0 + 48 = 666.

It is a super-2 number, since 2×13127298048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13127297994 and 13127298012.

It is not an unprimeable number, because it can be changed into a prime (13127298049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8376561 + ... + 8378127.

Almost surely, 2^13127298048 is an apocalyptic number.

13127298048 is a gapful number since it is divisible by the number (18) 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 13127298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807034016).

13127298048 is an abundant number, since it is smaller than the sum of its proper divisors (26486769984).

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

13127298048 is a wasteful number, since it uses less digits than its factorization.

13127298048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13127298048 in words is "thirteen billion, one hundred twenty-seven million, two hundred ninety-eight thousand, forty-eight".