13315140 has 36 divisors (see below), whose sum is σ = 40389804. Its totient is φ = 3550656.

The previous prime is 13315123. The next prime is 13315177. The reversal of 13315140 is 4151331.

It can be written as a sum of positive squares in 2 ways, for example, as 7322436 + 5992704 = 2706^2 + 2448^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36807 + ... + 37166.

It is an arithmetic number, because the mean of its divisors is an integer number (1121939).

Almost surely, 2^13315140 is an apocalyptic number.

13315140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13315140 is an abundant number, since it is smaller than the sum of its proper divisors (27074664).

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

13315140 is a wasteful number, since it uses less digits than its factorization.

13315140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73988 (or 73983 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13315140 is about 3648.9916415361. The cubic root of 13315140 is about 237.0183182978.

Adding to 13315140 its reverse (4151331), we get a palindrome (17466471).

The spelling of 13315140 in words is "thirteen million, three hundred fifteen thousand, one hundred forty".