13121040 has 80 divisors (see below), whose sum is σ = 42461568. Its totient is φ = 3345408.

The previous prime is 13121033. The next prime is 13121041. The reversal of 13121040 is 4012131.

13121040 = T₆₁ + T₆₂ + ... + T₄₂₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13121041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4332 + ... + 6708.

Almost surely, 2^13121040 is an apocalyptic number.

13121040 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 13121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21230784).

13121040 is an abundant number, since it is smaller than the sum of its proper divisors (29340528).

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

13121040 is a wasteful number, since it uses less digits than its factorization.

13121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13121040 is about 3622.2976133940. The cubic root of 13121040 is about 235.8609733684.

Adding to 13121040 its reverse (4012131), we get a palindrome (17133171).

The spelling of 13121040 in words is "thirteen million, one hundred twenty-one thousand, forty".