31232133123213 has 32 divisors (see below), whose sum is σ = 46996420032000. Its totient is φ = 18275327179200.

The previous prime is 31232133123197. The next prime is 31232133123223.

31232133123213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31232133123213 - 2⁴ = 31232133123197 is a prime.

It is a super-2 number, since 2×31232133123213² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31232133123223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33900798 + ... + 34809888.

It is an arithmetic number, because the mean of its divisors is an integer number (1468638126000).

Almost surely, 2^{31232133123213} is an apocalyptic number.

31232133123213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31232133123213 is a deficient number, since it is larger than the sum of its proper divisors (15764286908787).

31232133123213 is a wasteful number, since it uses less digits than its factorization.

31232133123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945033.

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

It can be divided in two parts, 3123213 and 3123213, that added together give a palindrome (6246426).

The spelling of 31232133123213 in words is "thirty-one trillion, two hundred thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred thirteen".