31441233214413 has 192 divisors, whose sum is σ = 54948106886400. Its totient is φ = 17110808064000.

The previous prime is 31441233214409. The next prime is 31441233214421.

31441233214413 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 1 + 23 + 3 + 214 + 413 = 666.

31441233214413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31441233214413 - 2² = 31441233214409 is a prime.

It is a super-2 number, since 2×31441233214413² (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 (31441233214403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2023107423 + ... + 2023122963.

It is an arithmetic number, because the mean of its divisors is an integer number (286188056700).

Almost surely, 2^{31441233214413} is an apocalyptic number.

31441233214413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31441233214413 is a deficient number, since it is larger than the sum of its proper divisors (23506873671987).

31441233214413 is a wasteful number, since it uses less digits than its factorization.

31441233214413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16364 (or 16361 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3144123 and 3214413, that added together give a palindrome (6358536).

The spelling of 31441233214413 in words is "thirty-one trillion, four hundred forty-one billion, two hundred thirty-three million, two hundred fourteen thousand, four hundred thirteen".