31414041413 has 8 divisors (see below), whose sum is σ = 33591254040. Its totient is φ = 29273420800.

The previous prime is 31414041367. The next prime is 31414041427.

It is a happy number.

31414041413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 17764091524 + 13649949889 = 133282^2 + 116833^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31414041413 - 2⁶ = 31414041349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31414041013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9146228 + ... + 9149661.

It is an arithmetic number, because the mean of its divisors is an integer number (4198906755).

Almost surely, 2^31414041413 is an apocalyptic number.

It is an amenable number.

31414041413 is a deficient number, since it is larger than the sum of its proper divisors (2177212627).

31414041413 is a wasteful number, since it uses less digits than its factorization.

31414041413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18296007.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 314140 and 41413, that added together give a palindrome (355553).

The spelling of 31414041413 in words is "thirty-one billion, four hundred fourteen million, forty-one thousand, four hundred thirteen".