13121133301033 has 16 divisors (see below), whose sum is σ = 13929314340240. Its totient is φ = 12316994021376.

The previous prime is 13121133301013. The next prime is 13121133301069. The reversal of 13121133301033 is 33010333112131.

It can be written as a sum of positive squares in 8 ways, for example, as 239264787609 + 12881868513424 = 489147^2 + 3589132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13121133301033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13121133300989 and 13121133301007.

It is not an unprimeable number, because it can be changed into a prime (13121133301013) 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, 247015285 + ... + 247068397.

It is an arithmetic number, because the mean of its divisors is an integer number (870582146265).

Almost surely, 2^{13121133301033} is an apocalyptic number.

It is an amenable number.

13121133301033 is a deficient number, since it is larger than the sum of its proper divisors (808181039207).

13121133301033 is a wasteful number, since it uses less digits than its factorization.

13121133301033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90876.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13121133301033 its reverse (33010333112131), we get a palindrome (46131466413164).

The spelling of 13121133301033 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-three million, three hundred one thousand, thirty-three".