13138363 has 16 divisors (see below), whose sum is σ = 15802560. Its totient is φ = 10684800.

The previous prime is 13138357. The next prime is 13138369. The reversal of 13138363 is 36383131.

It is an interprime number because it is at equal distance from previous prime (13138357) and next prime (13138369).

It is not a de Polignac number, because 13138363 - 2⁹ = 13137851 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13138369) 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, 11853 + ... + 12913.

It is an arithmetic number, because the mean of its divisors is an integer number (987660).

Almost surely, 2^13138363 is an apocalyptic number.

13138363 is a deficient number, since it is larger than the sum of its proper divisors (2664197).

13138363 is a wasteful number, since it uses less digits than its factorization.

13138363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158.

The product of its digits is 3888, while the sum is 28.

The square root of 13138363 is about 3624.6879865721. The cubic root of 13138363 is about 235.9647258876.

It can be divided in two parts, 131383 and 63, that multiplied together give a square (8277129 = 2877²).

The spelling of 13138363 in words is "thirteen million, one hundred thirty-eight thousand, three hundred sixty-three".