13005628340 has 12 divisors (see below), whose sum is σ = 27311819556. Its totient is φ = 5202251328.

The previous prime is 13005628331. The next prime is 13005628351. The reversal of 13005628340 is 4382650031.

It can be written as a sum of positive squares in 2 ways, for example, as 9481306384 + 3524321956 = 97372^2 + 59366^2 .

It is a super-2 number, since 2×13005628340² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13005628297 and 13005628306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 325140689 + ... + 325140728.

It is an arithmetic number, because the mean of its divisors is an integer number (2275984963).

Almost surely, 2^13005628340 is an apocalyptic number.

13005628340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005628340 is an abundant number, since it is smaller than the sum of its proper divisors (14306191216).

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

13005628340 is a wasteful number, since it uses less digits than its factorization.

13005628340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650281426 (or 650281424 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 13005628340 in words is "thirteen billion, five million, six hundred twenty-eight thousand, three hundred forty".