13011755328 has 336 divisors, whose sum is σ = 45289500480. Its totient is φ = 3638891520.

The previous prime is 13011755327. The next prime is 13011755353. The reversal of 13011755328 is 82355711031.

It is a happy number.

13011755328 is a `hidden beast` number, since 1 + 3 + 0 + 117 + 5 + 532 + 8 = 666.

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 13011755292 and 13011755301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011755321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2715751 + ... + 2720537.

It is an arithmetic number, because the mean of its divisors is an integer number (134790180).

Almost surely, 2^13011755328 is an apocalyptic number.

13011755328 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 13011755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644750240).

13011755328 is an abundant number, since it is smaller than the sum of its proper divisors (32277745152).

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

13011755328 is a wasteful number, since it uses less digits than its factorization.

13011755328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 13011755328 in words is "thirteen billion, eleven million, seven hundred fifty-five thousand, three hundred twenty-eight".