31423144132413 has 144 divisors (see below), whose sum is σ = 53813744345088. Its totient is φ = 17604127569600.

The previous prime is 31423144132307. The next prime is 31423144132421.

31423144132413 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 314 + 4 + 1 + 324 + 13 = 666.

31423144132413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31423144132413 - 2¹⁶ = 31423144066877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31423144132463) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 564456406 + ... + 564512072.

It is an arithmetic number, because the mean of its divisors is an integer number (373706557952).

Almost surely, 2^{31423144132413} is an apocalyptic number.

31423144132413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31423144132413 is a deficient number, since it is larger than the sum of its proper divisors (22390600212675).

31423144132413 is a wasteful number, since it uses less digits than its factorization.

31423144132413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56476 (or 56462 counting only the distinct ones).

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

It can be divided in two parts, 3142314 and 4132413, that added together give a palindrome (7274727).

The spelling of 31423144132413 in words is "thirty-one trillion, four hundred twenty-three billion, one hundred forty-four million, one hundred thirty-two thousand, four hundred thirteen".