13122213231033 has 6 divisors (see below), whose sum is σ = 18954308000394. Its totient is φ = 8748142154016.

The previous prime is 13122213230953. The next prime is 13122213231047. The reversal of 13122213231033 is 33013231222131.

13122213231033 is a `hidden beast` number, since 1 + 3 + 12 + 221 + 323 + 103 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8833449740544 + 4288763490489 = 2972112^2 + 2070933^2 .

It is not a de Polignac number, because 13122213231033 - 2²⁸ = 13121944795577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13122213230988 and 13122213231006.

It is not an unprimeable number, because it can be changed into a prime (13122213231433) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729011846160 + ... + 729011846177.

It is an arithmetic number, because the mean of its divisors is an integer number (3159051333399).

Almost surely, 2^{13122213231033} is an apocalyptic number.

It is an amenable number.

13122213231033 is a deficient number, since it is larger than the sum of its proper divisors (5832094769361).

13122213231033 is a wasteful number, since it uses less digits than its factorization.

13122213231033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458023692343 (or 1458023692340 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13122213231033 its reverse (33013231222131), we get a palindrome (46135444453164).

The spelling of 13122213231033 in words is "thirteen trillion, one hundred twenty-two billion, two hundred thirteen million, two hundred thirty-one thousand, thirty-three".