13078438321 has 27 divisors (see below), whose sum is σ = 14978801259. Its totient is φ = 11412312912.

The previous prime is 13078438301. The next prime is 13078438333. The reversal of 13078438321 is 12383487031.

It is a happy number.

The square root of 13078438321 is 114361.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1934680225 + 11143758096 = 43985^2 + 105564^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13078438321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13078438301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28246936 + ... + 28247398.

It is an arithmetic number, because the mean of its divisors is an integer number (554770417).

Almost surely, 2^13078438321 is an apocalyptic number.

13078438321 is the 114361-st square number.

13078438321 is the 57181-st centered octagonal number.

It is an amenable number.

13078438321 is a deficient number, since it is larger than the sum of its proper divisors (1900362938).

13078438321 is an frugal number, since it uses more digits than its factorization.

13078438321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 13078438321 in words is "thirteen billion, seventy-eight million, four hundred thirty-eight thousand, three hundred twenty-one".