13332122123331 has 64 divisors (see below), whose sum is σ = 20877478327296. Its totient is φ = 7477247078400.

The previous prime is 13332122123317. The next prime is 13332122123459.

13332122123331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13332122123331 - 2⁹ = 13332122122819 is a prime.

It is a super-2 number, since 2×13332122123331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13332122123531) 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, 91057375 + ... + 91203671.

It is an arithmetic number, because the mean of its divisors is an integer number (326210598864).

Almost surely, 2^{13332122123331} is an apocalyptic number.

13332122123331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13332122123331 is a deficient number, since it is larger than the sum of its proper divisors (7545356203965).

13332122123331 is a wasteful number, since it uses less digits than its factorization.

13332122123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149052.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 1333212 and 2123331, that added together give a palindrome (3456543).

The spelling of 13332122123331 in words is "thirteen trillion, three hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, three hundred thirty-one".