10361313 has 24 divisors (see below), whose sum is σ = 15969096. Its totient is φ = 6451200.

The previous prime is 10361269. The next prime is 10361317. The reversal of 10361313 is 31316301.

10361313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4941729 + 5419584 = 2223^2 + 2328^2 .

It is not a de Polignac number, because 10361313 - 2¹⁰ = 10360289 is a prime.

It is a super-3 number, since 3×10361313³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10361317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36733 + ... + 37013.

It is an arithmetic number, because the mean of its divisors is an integer number (665379).

Almost surely, 2^10361313 is an apocalyptic number.

It is an amenable number.

10361313 is a deficient number, since it is larger than the sum of its proper divisors (5607783).

10361313 is a wasteful number, since it uses less digits than its factorization.

10361313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 10361313 is about 3218.8993460498. The cubic root of 10361313 is about 218.0075818702.

Adding to 10361313 its reverse (31316301), we get a palindrome (41677614).

It can be divided in two parts, 103 and 61313, that added together give a palindrome (61416).

The spelling of 10361313 in words is "ten million, three hundred sixty-one thousand, three hundred thirteen".