1313013121 has 16 divisors (see below), whose sum is σ = 1573291008. Its totient is φ = 1071378000.

The previous prime is 1313013047. The next prime is 1313013209. The reversal of 1313013121 is 1213103131.

It is not a de Polignac number, because 1313013121 - 2¹⁵ = 1312980353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313013095 and 1313013104.

It is not an unprimeable number, because it can be changed into a prime (1313019121) 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, 14646 + ... + 53296.

It is an arithmetic number, because the mean of its divisors is an integer number (98330688).

Almost surely, 2^1313013121 is an apocalyptic number.

It is an amenable number.

1313013121 is a deficient number, since it is larger than the sum of its proper divisors (260277887).

1313013121 is a wasteful number, since it uses less digits than its factorization.

1313013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38892.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1313013121 is about 36235.5229160557. The cubic root of 1313013121 is about 1095.0224472230.

Adding to 1313013121 its reverse (1213103131), we get a palindrome (2526116252).

The spelling of 1313013121 in words is "one billion, three hundred thirteen million, thirteen thousand, one hundred twenty-one".