13000023120 has 80 divisors (see below), whose sum is σ = 46057230720. Its totient is φ = 2971433472.

The previous prime is 13000023083. The next prime is 13000023121. The reversal of 13000023120 is 2132000031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13000023120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13000023096 and 13000023105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000023121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3867375 + ... + 3870734.

It is an arithmetic number, because the mean of its divisors is an integer number (575715384).

Almost surely, 2^13000023120 is an apocalyptic number.

13000023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000023120 is an abundant number, since it is smaller than the sum of its proper divisors (33057207600).

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

13000023120 is a wasteful number, since it uses less digits than its factorization.

13000023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738132 (or 7738126 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13000023120 its reverse (2132000031), we get a palindrome (15132023151).

The spelling of 13000023120 in words is "thirteen billion, twenty-three thousand, one hundred twenty".