13371120 has 180 divisors, whose sum is σ = 52373880. Its totient is φ = 3048192.

The previous prime is 13371109. The next prime is 13371131. The reversal of 13371120 is 2117331.

It is an interprime number because it is at equal distance from previous prime (13371109) and next prime (13371131).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13371093 and 13371102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35091 + ... + 35469.

It is an arithmetic number, because the mean of its divisors is an integer number (290966).

Almost surely, 2^13371120 is an apocalyptic number.

13371120 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 13371120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26186940).

13371120 is an abundant number, since it is smaller than the sum of its proper divisors (39002760).

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

13371120 is a wasteful number, since it uses less digits than its factorization.

13371120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13371120 is about 3656.6542084261. The cubic root of 13371120 is about 237.3500142577.

Adding to 13371120 its reverse (2117331), we get a palindrome (15488451).

It can be divided in two parts, 133 and 71120, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 13371120 in words is "thirteen million, three hundred seventy-one thousand, one hundred twenty".