13023042120 has 192 divisors, whose sum is σ = 46227542400. Its totient is φ = 3153346560.

The previous prime is 13023042113. The next prime is 13023042157. The reversal of 13023042120 is 2124032031.

13023042120 is a `hidden beast` number, since 13 + 0 + 230 + 421 + 2 + 0 = 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 = 13023042093 and 13023042102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4841736 + ... + 4844424.

It is an arithmetic number, because the mean of its divisors is an integer number (240768450).

Almost surely, 2^13023042120 is an apocalyptic number.

13023042120 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 13023042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23113771200).

13023042120 is an abundant number, since it is smaller than the sum of its proper divisors (33204500280).

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

13023042120 is a wasteful number, since it uses less digits than its factorization.

13023042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13023042120 its reverse (2124032031), we get a palindrome (15147074151).

The spelling of 13023042120 in words is "thirteen billion, twenty-three million, forty-two thousand, one hundred twenty".