13002781 has 12 divisors (see below), whose sum is σ = 14646492. Its totient is φ = 11528000.

The previous prime is 13002779. The next prime is 13002791. The reversal of 13002781 is 18720031.

It can be written as a sum of positive squares in 2 ways, for example, as 5134756 + 7868025 = 2266^2 + 2805^2 .

It is not a de Polignac number, because 13002781 - 2¹ = 13002779 is a prime.

It is a super-2 number, since 2×13002781² = 338144627467922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3651 + ... + 6271.

It is an arithmetic number, because the mean of its divisors is an integer number (1220541).

Almost surely, 2^13002781 is an apocalyptic number.

13002781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13002781 is a deficient number, since it is larger than the sum of its proper divisors (1643711).

13002781 is a wasteful number, since it uses less digits than its factorization.

13002781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 13002781 is about 3605.9369101525. The cubic root of 13002781 is about 235.1502344017.

The spelling of 13002781 in words is "thirteen million, two thousand, seven hundred eighty-one".