13123412201033 has 16 divisors (see below), whose sum is σ = 13340370692880. Its totient is φ = 12908262506496.

The previous prime is 13123412201027. The next prime is 13123412201041. The reversal of 13123412201033 is 33010221432131.

It is a happy number.

13123412201033 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 8 ways, for example, as 608317322809 + 12515094878224 = 779947^2 + 3537668^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123412201033 - 2²² = 13123408006729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13123412200993 and 13123412201011.

It is not an unprimeable number, because it can be changed into a prime (13123412201083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17382635 + ... + 18121887.

It is an arithmetic number, because the mean of its divisors is an integer number (833773168305).

Almost surely, 2^{13123412201033} is an apocalyptic number.

It is an amenable number.

13123412201033 is a deficient number, since it is larger than the sum of its proper divisors (216958491847).

13123412201033 is an equidigital number, since it uses as much as digits as its factorization.

13123412201033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740476.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13123412201033 its reverse (33010221432131), we get a palindrome (46133633633164).

The spelling of 13123412201033 in words is "thirteen trillion, one hundred twenty-three billion, four hundred twelve million, two hundred one thousand, thirty-three".