13233741120 has 784 divisors, whose sum is σ = 51810928128. Its totient is φ = 3204956160.

The previous prime is 13233741119. The next prime is 13233741133. The reversal of 13233741120 is 2114733231.

It is a happy number.

13233741120 is a `hidden beast` number, since 13 + 233 + 7 + 411 + 2 + 0 = 666.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 186390685 + ... + 186390755.

Almost surely, 2^13233741120 is an apocalyptic number.

13233741120 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 13233741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25905464064).

13233741120 is an abundant number, since it is smaller than the sum of its proper divisors (38577187008).

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

13233741120 is an equidigital number, since it uses as much as digits as its factorization.

13233741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13233741120 in words is "thirteen billion, two hundred thirty-three million, seven hundred forty-one thousand, one hundred twenty".