31211433411213 has 32 divisors (see below), whose sum is σ = 45463437794304. Its totient is φ = 18888947280000.

The previous prime is 31211433411187. The next prime is 31211433411247.

It is a happy number.

31211433411213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31211433411213 - 2¹³ = 31211433403021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31211433411253) 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, 228233928 + ... + 228370638.

It is an arithmetic number, because the mean of its divisors is an integer number (1420732431072).

Almost surely, 2^{31211433411213} is an apocalyptic number.

31211433411213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31211433411213 is a deficient number, since it is larger than the sum of its proper divisors (14252004383091).

31211433411213 is a wasteful number, since it uses less digits than its factorization.

31211433411213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146577.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 3121143 and 3411213, that added together give a palindrome (6532356).

The spelling of 31211433411213 in words is "thirty-one trillion, two hundred eleven billion, four hundred thirty-three million, four hundred eleven thousand, two hundred thirteen".