13314162120 has 128 divisors (see below), whose sum is σ = 45674496000. Its totient is φ = 3041508096.

The previous prime is 13314162107. The next prime is 13314162137. The reversal of 13314162120 is 2126141331.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2011857 + ... + 2018463.

It is an arithmetic number, because the mean of its divisors is an integer number (356832000).

Almost surely, 2^13314162120 is an apocalyptic number.

13314162120 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 13314162120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837248000).

13314162120 is an abundant number, since it is smaller than the sum of its proper divisors (32360333880).

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

13314162120 is a wasteful number, since it uses less digits than its factorization.

13314162120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 13314162120 in words is "thirteen billion, three hundred fourteen million, one hundred sixty-two thousand, one hundred twenty".