13313040 has 160 divisors (see below), whose sum is σ = 47246976. Its totient is φ = 3072000.

The previous prime is 13313039. The next prime is 13313071. The reversal of 13313040 is 4031331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52915 + ... + 53165.

Almost surely, 2^13313040 is an apocalyptic number.

13313040 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 13313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488).

13313040 is an abundant number, since it is smaller than the sum of its proper divisors (33933936).

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

13313040 is a wasteful number, since it uses less digits than its factorization.

13313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13313040 is about 3648.7038794619. The cubic root of 13313040 is about 237.0058571787.

Adding to 13313040 its reverse (4031331), we get a palindrome (17344371).

It can be divided in two parts, 1331 and 3040, that added together give a triangular number (4371 = T₉₃).

The spelling of 13313040 in words is "thirteen million, three hundred thirteen thousand, forty".