13503338611128 has 56 divisors (see below), whose sum is σ = 37960774455600. Its totient is φ = 4501112868432.

The previous prime is 13503338611123. The next prime is 13503338611153. The reversal of 13503338611128 is 82111683330531.

13503338611128 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 3 + 3 + 3 + 8 + 611 + 1 + 28 = 666.

It is a super-3 number, since 3×13503338611128³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13503338611123) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1157687808 + ... + 1157699471.

Almost surely, 2^{13503338611128} is an apocalyptic number.

13503338611128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13503338611128 is an abundant number, since it is smaller than the sum of its proper divisors (24457435844472).

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

13503338611128 is an equidigital number, since it uses as much as digits as its factorization.

13503338611128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315387303 (or 2315387284 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13503338611128 in words is "thirteen trillion, five hundred three billion, three hundred thirty-eight million, six hundred eleven thousand, one hundred twenty-eight".