31241433414213 has 48 divisors (see below), whose sum is σ = 51060025965312. Its totient is φ = 18240066000000.

The previous prime is 31241433414209. The next prime is 31241433414259.

31241433414213 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 1 + 433 + 4 + 1 + 4 + 213 = 666.

31241433414213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31241433414213 - 2² = 31241433414209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31241433414283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41852413 + ... + 42592338.

It is an arithmetic number, because the mean of its divisors is an integer number (1063750540944).

Almost surely, 2^{31241433414213} is an apocalyptic number.

31241433414213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31241433414213 is a deficient number, since it is larger than the sum of its proper divisors (19818592551099).

31241433414213 is a wasteful number, since it uses less digits than its factorization.

31241433414213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84444906 (or 84444903 counting only the distinct ones).

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

It can be divided in two parts, 3124143 and 3414213, that added together give a palindrome (6538356).

The spelling of 31241433414213 in words is "thirty-one trillion, two hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, two hundred thirteen".