1313122434013 has 16 divisors (see below), whose sum is σ = 1420682636016. Its totient is φ = 1206507294720.

The previous prime is 1313122433957. The next prime is 1313122434017. The reversal of 1313122434013 is 3104342213131.

It can be written as a sum of positive squares in 8 ways, for example, as 199056960964 + 1114065473049 = 446158^2 + 1055493^2 .

It is not a de Polignac number, because 1313122434013 - 2⁹ = 1313122433501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313122434017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231045 + ... + 3614677.

It is an arithmetic number, because the mean of its divisors is an integer number (88792664751).

Almost surely, 2^{1313122434013} is an apocalyptic number.

1313122434013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313122434013 is a deficient number, since it is larger than the sum of its proper divisors (107560202003).

1313122434013 is a wasteful number, since it uses less digits than its factorization.

1313122434013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384864.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1313122434013 its reverse (3104342213131), we get a palindrome (4417464647144).

The spelling of 1313122434013 in words is "one trillion, three hundred thirteen billion, one hundred twenty-two million, four hundred thirty-four thousand, thirteen".