13442313120 has 96 divisors (see below), whose sum is σ = 43487756928. Its totient is φ = 3487730688.

The previous prime is 13442313089. The next prime is 13442313121. The reversal of 13442313120 is 2131324431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13442313120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13442313121) 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, 360684 + ... + 396203.

It is an arithmetic number, because the mean of its divisors is an integer number (452997468).

Almost surely, 2^13442313120 is an apocalyptic number.

13442313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13442313120 is an abundant number, since it is smaller than the sum of its proper divisors (30045443808).

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

13442313120 is a wasteful number, since it uses less digits than its factorization.

13442313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756942 (or 756934 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13442313120 its reverse (2131324431), we get a palindrome (15573637551).

The spelling of 13442313120 in words is "thirteen billion, four hundred forty-two million, three hundred thirteen thousand, one hundred twenty".