31414144141413 has 96 divisors (see below), whose sum is σ = 50242773934080. Its totient is φ = 18755598960000.

The previous prime is 31414144141363. The next prime is 31414144141427.

31414144141413 is a `hidden beast` number, since 31 + 4 + 1 + 41 + 441 + 4 + 141 + 3 = 666.

31414144141413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31414144141413 - 2¹⁰ = 31414144140389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31414144141453) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6713856208 + ... + 6713860886.

It is an arithmetic number, because the mean of its divisors is an integer number (523362228480).

Almost surely, 2^{31414144141413} is an apocalyptic number.

31414144141413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31414144141413 is a deficient number, since it is larger than the sum of its proper divisors (18828629792667).

31414144141413 is a wasteful number, since it uses less digits than its factorization.

31414144141413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8031 (or 8028 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 3141414 and 4141413, that added together give a palindrome (7282827).

The spelling of 31414144141413 in words is "thirty-one trillion, four hundred fourteen billion, one hundred forty-four million, one hundred forty-one thousand, four hundred thirteen".