13123023120 has 120 divisors (see below), whose sum is σ = 44675383896. Its totient is φ = 3451521024.

The previous prime is 13123023103. The next prime is 13123023149. The reversal of 13123023120 is 2132032131.

13123023120 is a `hidden beast` number, since 1 + 312 + 302 + 31 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5398722576 + 7724300544 = 73476^2 + 87888^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 13123023093 and 13123023102.

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 23 ways as a sum of consecutive naturals, for example, 72279 + ... + 177398.

Almost surely, 2^13123023120 is an apocalyptic number.

13123023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123023120 is an abundant number, since it is smaller than the sum of its proper divisors (31552360776).

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

13123023120 is a wasteful number, since it uses less digits than its factorization.

13123023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249769 (or 249760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13123023120 its reverse (2132032131), we get a palindrome (15255055251).

The spelling of 13123023120 in words is "thirteen billion, one hundred twenty-three million, twenty-three thousand, one hundred twenty".