13121311333013 has 8 divisors (see below), whose sum is σ = 14132190309048. Its totient is φ = 12110653404864.

The previous prime is 13121311332977. The next prime is 13121311333021. The reversal of 13121311333013 is 31033311312131.

It can be written as a sum of positive squares in 4 ways, for example, as 10814544049 + 13110496788964 = 103993^2 + 3620842^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13121311333013 - 2³⁸ = 12846433426069 is a prime.

It is a super-2 number, since 2×13121311333013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121311333033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55138670 + ... + 55376127.

It is an arithmetic number, because the mean of its divisors is an integer number (1766523788631).

Almost surely, 2^{13121311333013} is an apocalyptic number.

13121311333013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13121311333013 is a deficient number, since it is larger than the sum of its proper divisors (1010878976035).

13121311333013 is a wasteful number, since it uses less digits than its factorization.

13121311333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110523943.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 13121311333013 its reverse (31033311312131), we get a palindrome (44154622645144).

The spelling of 13121311333013 in words is "thirteen trillion, one hundred twenty-one billion, three hundred eleven million, three hundred thirty-three thousand, thirteen".