31213344133413 has 40 divisors (see below), whose sum is σ = 51945579147000. Its totient is φ = 18545859626112.

The previous prime is 31213344133403. The next prime is 31213344133423. The reversal of 31213344133413 is 31433144331213.

31213344133413 is a `hidden beast` number, since 3 + 12 + 133 + 441 + 33 + 41 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (31213344133403) and next prime (31213344133423).

It can be written as a sum of positive squares in 4 ways, for example, as 2436792806529 + 28776551326884 = 1561023^2 + 5364378^2 .

It is not a de Polignac number, because 31213344133413 - 2¹⁷ = 31213344002341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213344133403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 511043638 + ... + 511104711.

It is an arithmetic number, because the mean of its divisors is an integer number (1298639478675).

Almost surely, 2^{31213344133413} is an apocalyptic number.

It is an amenable number.

31213344133413 is a deficient number, since it is larger than the sum of its proper divisors (20732235013587).

31213344133413 is a wasteful number, since it uses less digits than its factorization.

31213344133413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022148403 (or 1022148394 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 31213344133413 its reverse (31433144331213), we get a palindrome (62646488464626).

The spelling of 31213344133413 in words is "thirty-one trillion, two hundred thirteen billion, three hundred forty-four million, one hundred thirty-three thousand, four hundred thirteen".