31434633643413 has 32 divisors (see below), whose sum is σ = 56274588905472. Its totient is φ = 15073550596800.

The previous prime is 31434633643403. The next prime is 31434633643463.

It is a happy number.

31434633643413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31434633643413 - 2⁶ = 31434633643349 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 (31434633643403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5233868733 + ... + 5233874738.

It is an arithmetic number, because the mean of its divisors is an integer number (1758580903296).

Almost surely, 2^{31434633643413} is an apocalyptic number.

31434633643413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31434633643413 is a deficient number, since it is larger than the sum of its proper divisors (24839955262059).

31434633643413 is a wasteful number, since it uses less digits than its factorization.

31434633643413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467743505.

The product of its digits is 6718464, while the sum is 48.

It can be divided in two parts, 3143463 and 3643413, that added together give a palindrome (6786876).

The spelling of 31434633643413 in words is "thirty-one trillion, four hundred thirty-four billion, six hundred thirty-three million, six hundred forty-three thousand, four hundred thirteen".