13142120 has 32 divisors (see below), whose sum is σ = 29871720. Its totient is φ = 5203200.

The previous prime is 13142119. The next prime is 13142123. The reversal of 13142120 is 2124131.

It can be written as a sum of positive squares in 4 ways, for example, as 12687844 + 454276 = 3562^2 + 674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13142095 and 13142104.

It is not an unprimeable number, because it can be changed into a prime (13142123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2414 + ... + 5666.

Almost surely, 2^13142120 is an apocalyptic number.

13142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142120 is an abundant number, since it is smaller than the sum of its proper divisors (16729600).

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

13142120 is a wasteful number, since it uses less digits than its factorization.

13142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13142120 is about 3625.2062010319. The cubic root of 13142120 is about 235.9872156246.

Adding to 13142120 its reverse (2124131), we get a palindrome (15266251).

The spelling of 13142120 in words is "thirteen million, one hundred forty-two thousand, one hundred twenty".