1310413 has 4 divisors (see below), whose sum is σ = 1411228. Its totient is φ = 1209600.

The previous prime is 1310399. The next prime is 1310417. The reversal of 1310413 is 3140131.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 51529 + 1258884 = 227^2 + 1122^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310413 - 2⁵ = 1310381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 100801 = 1310413 / (1 + 3 + 1 + 0 + 4 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 1310393 and 1310402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50388 + ... + 50413.

It is an arithmetic number, because the mean of its divisors is an integer number (352807).

2^1310413 is an apocalyptic number.

1310413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310413 is a deficient number, since it is larger than the sum of its proper divisors (100815).

1310413 is a wasteful number, since it uses less digits than its factorization.

1310413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100814.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1310413 is about 1144.7327198958. The cubic root of 1310413 is about 109.4299156067.

Adding to 1310413 its reverse (3140131), we get a palindrome (4450544).

It can be divided in two parts, 131041 and 3, that added together give a square (131044 = 362²).

The spelling of 1310413 in words is "one million, three hundred ten thousand, four hundred thirteen".