13122132032033 has 8 divisors (see below), whose sum is σ = 13159583433000. Its totient is φ = 13084682203648.

The previous prime is 13122132031999. The next prime is 13122132032039. The reversal of 13122132032033 is 33023023122131.

13122132032033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1301579793424 + 11820552238609 = 1140868^2 + 3438103^2 .

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 13122132032033 - 2¹⁰ = 13122132031009 is a prime.

It is a super-2 number, since 2×13122132032033² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13122132031993 and 13122132032011.

It is not an unprimeable number, because it can be changed into a prime (13122132032039) 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, 17476103 + ... + 18211491.

It is an arithmetic number, because the mean of its divisors is an integer number (1644947929125).

Almost surely, 2^{13122132032033} is an apocalyptic number.

It is an amenable number.

13122132032033 is a deficient number, since it is larger than the sum of its proper divisors (37451400967).

13122132032033 is an equidigital number, since it uses as much as digits as its factorization.

13122132032033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786291.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13122132032033 its reverse (33023023122131), we get a palindrome (46145155154164).

The spelling of 13122132032033 in words is "thirteen trillion, one hundred twenty-two billion, one hundred thirty-two million, thirty-two thousand, thirty-three".