13300311031848 has 96 divisors (see below), whose sum is σ = 36624781581960. Its totient is φ = 4359258570240.

The previous prime is 13300311031831. The next prime is 13300311031871. The reversal of 13300311031848 is 84813011300331.

13300311031848 is a `hidden beast` number, since 1 + 3 + 300 + 31 + 1 + 0 + 318 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11768206752324 + 1532104279524 = 3430482^2 + 1237782^2 .

It is a super-2 number, since 2×13300311031848² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12292386 + ... + 13330542.

Almost surely, 2^{13300311031848} is an apocalyptic number.

13300311031848 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 13300311031848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18312390790980).

13300311031848 is an abundant number, since it is smaller than the sum of its proper divisors (23324470550112).

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

13300311031848 is a wasteful number, since it uses less digits than its factorization.

13300311031848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041147 (or 1041140 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13300311031848 in words is "thirteen trillion, three hundred billion, three hundred eleven million, thirty-one thousand, eight hundred forty-eight".