133212212331 has 16 divisors (see below), whose sum is σ = 199000063488. Its totient is φ = 78552655200.

The previous prime is 133212212323. The next prime is 133212212339.

133212212331 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (133212212323) and next prime (133212212339).

It is not a de Polignac number, because 133212212331 - 2³ = 133212212323 is a prime.

It is a super-2 number, since 2×133212212331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133212212339) 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, 54549235 + ... + 54551676.

It is an arithmetic number, because the mean of its divisors is an integer number (12437503968).

Almost surely, 2^133212212331 is an apocalyptic number.

133212212331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133212212331 is a deficient number, since it is larger than the sum of its proper divisors (65787851157).

133212212331 is a wasteful number, since it uses less digits than its factorization.

133212212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109100962.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 133212 and 212331, that added together give a palindrome (345543).

The spelling of 133212212331 in words is "one hundred thirty-three billion, two hundred twelve million, two hundred twelve thousand, three hundred thirty-one".