13002120 has 80 divisors (see below), whose sum is σ = 43712460. Its totient is φ = 3466368.

The previous prime is 13002109. The next prime is 13002131. The reversal of 13002120 is 2120031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13002109) and next prime (13002131).

It can be written as a sum of positive squares in 2 ways, for example, as 12830724 + 171396 = 3582^2 + 414^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1234 + ... + 5246.

Almost surely, 2^13002120 is an apocalyptic number.

13002120 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 13002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21856230).

13002120 is an abundant number, since it is smaller than the sum of its proper divisors (30710340).

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

13002120 is a wasteful number, since it uses less digits than its factorization.

13002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13002120 is about 3605.8452545832. The cubic root of 13002120 is about 235.1462496915.

Adding to 13002120 its reverse (2120031), we get a palindrome (15122151).

The spelling of 13002120 in words is "thirteen million, two thousand, one hundred twenty".