13122211212333 has 64 divisors (see below), whose sum is σ = 19737071712000. Its totient is φ = 8615659143168.

The previous prime is 13122211212317. The next prime is 13122211212343. The reversal of 13122211212333 is 33321211222131.

13122211212333 is a `hidden beast` number, since 1 + 312 + 2 + 2 + 1 + 1 + 2 + 12 + 333 = 666.

It is not a de Polignac number, because 13122211212333 - 2⁴ = 13122211212317 is a prime.

It is a super-2 number, since 2×13122211212333² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13122211212297 and 13122211212306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122211212343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769487235 + ... + 769504287.

It is an arithmetic number, because the mean of its divisors is an integer number (308391745500).

Almost surely, 2^{13122211212333} is an apocalyptic number.

It is an amenable number.

13122211212333 is a deficient number, since it is larger than the sum of its proper divisors (6614860499667).

13122211212333 is a wasteful number, since it uses less digits than its factorization.

13122211212333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18763 (or 18757 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13122211212333 its reverse (33321211222131), we get a palindrome (46443422434464).

The spelling of 13122211212333 in words is "thirteen trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twelve thousand, three hundred thirty-three".