13311155520 has 448 divisors, whose sum is σ = 51954013440. Its totient is φ = 3187040256.

The previous prime is 13311155513. The next prime is 13311155531. The reversal of 13311155520 is 2555111331.

13311155520 is a `hidden beast` number, since 133 + 1 + 1 + 1 + 5 + 5 + 520 = 666.

It is a super-2 number, since 2×13311155520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4154239 + ... + 4157441.

It is an arithmetic number, because the mean of its divisors is an integer number (115968780).

Almost surely, 2^13311155520 is an apocalyptic number.

13311155520 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 13311155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25977006720).

13311155520 is an abundant number, since it is smaller than the sum of its proper divisors (38642857920).

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

13311155520 is a wasteful number, since it uses less digits than its factorization.

13311155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 13311155520 its reverse (2555111331), we get a palindrome (15866266851).

The spelling of 13311155520 in words is "thirteen billion, three hundred eleven million, one hundred fifty-five thousand, five hundred twenty".