1313042125 has 24 divisors (see below), whose sum is σ = 1684381608. Its totient is φ = 1021910400.

The previous prime is 1313042053. The next prime is 1313042131. The reversal of 1313042125 is 5212403131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 275493604 + 1037548521 = 16598^2 + 32211^2 .

It is not a de Polignac number, because 1313042125 - 2¹⁹ = 1312517837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313042096 and 1313042105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167289 + ... + 174961.

It is an arithmetic number, because the mean of its divisors is an integer number (70182567).

Almost surely, 2^1313042125 is an apocalyptic number.

It is an amenable number.

1313042125 is a deficient number, since it is larger than the sum of its proper divisors (371339483).

1313042125 is an frugal number, since it uses more digits than its factorization.

1313042125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1313042125 is about 36235.9231288510. The cubic root of 1313042125 is about 1095.0305100511.

Adding to 1313042125 its reverse (5212403131), we get a palindrome (6525445256).

It can be divided in two parts, 13130 and 42125, that added together give a palindrome (55255).

The spelling of 1313042125 in words is "one billion, three hundred thirteen million, forty-two thousand, one hundred twenty-five".