13001133111120 has 320 divisors, whose sum is σ = 55831706542080. Its totient is φ = 2701534118400.

The previous prime is 13001133111107. The next prime is 13001133111139. The reversal of 13001133111120 is 2111133110031.

13001133111120 is a `hidden beast` number, since 1 + 300 + 1 + 1 + 331 + 1 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13001133111093 and 13001133111102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38918376 + ... + 39251015.

It is an arithmetic number, because the mean of its divisors is an integer number (174474082944).

Almost surely, 2^{13001133111120} is an apocalyptic number.

13001133111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001133111120 is an abundant number, since it is smaller than the sum of its proper divisors (42830573430960).

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

13001133111120 is a wasteful number, since it uses less digits than its factorization.

13001133111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78169431 (or 78169419 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13001133111120 its reverse (2111133110031), we get a palindrome (15112266221151).

The spelling of 13001133111120 in words is "thirteen trillion, one billion, one hundred thirty-three million, one hundred eleven thousand, one hundred twenty".