31212122121213 has 64 divisors (see below), whose sum is σ = 46142886021120. Its totient is φ = 18608788736000.

The previous prime is 31212122121181. The next prime is 31212122121221.

31212122121213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31212122121213 - 2⁵ = 31212122121181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31212122121283) 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, 624929920 + ... + 624979862.

It is an arithmetic number, because the mean of its divisors is an integer number (720982594080).

Almost surely, 2^{31212122121213} is an apocalyptic number.

31212122121213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31212122121213 is a deficient number, since it is larger than the sum of its proper divisors (14930763899907).

31212122121213 is a wasteful number, since it uses less digits than its factorization.

31212122121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51010.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 3121212 and 2121213, that added together give a palindrome (5242425).

The spelling of 31212122121213 in words is "thirty-one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred thirteen".