1313044101 has 20 divisors (see below), whose sum is σ = 1998476172. Its totient is φ = 858843648.

The previous prime is 1313044099. The next prime is 1313044121. The reversal of 1313044101 is 1014403131.

It can be written as a sum of positive squares in 2 ways, for example, as 836713476 + 476330625 = 28926^2 + 21825^2 .

It is not a de Polignac number, because 1313044101 - 2¹ = 1313044099 is a prime.

It is a super-4 number, since 4×1313044101⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313044121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148636 + ... + 157221.

Almost surely, 2^1313044101 is an apocalyptic number.

It is an amenable number.

1313044101 is a deficient number, since it is larger than the sum of its proper divisors (685432071).

1313044101 is an equidigital number, since it uses as much as digits as its factorization.

1313044101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305922 (or 305913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1313044101 is about 36235.9503946012. The cubic root of 1313044101 is about 1095.0310593554.

Adding to 1313044101 its reverse (1014403131), we get a palindrome (2327447232).

The spelling of 1313044101 in words is "one billion, three hundred thirteen million, forty-four thousand, one hundred one".