134313313431 has 32 divisors (see below), whose sum is σ = 211258119168. Its totient is φ = 74983562240.

The previous prime is 134313313427. The next prime is 134313313457.

134313313431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 134313313431 - 2² = 134313313427 is a prime.

It is a super-3 number, since 3×134313313431³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134313313411) 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 31 ways as a sum of consecutive naturals, for example, 2520630 + ... + 2573363.

It is an arithmetic number, because the mean of its divisors is an integer number (6601816224).

Almost surely, 2^134313313431 is an apocalyptic number.

134313313431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134313313431 is a deficient number, since it is larger than the sum of its proper divisors (76944805737).

134313313431 is a wasteful number, since it uses less digits than its factorization.

134313313431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094071.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 134313 and 313431, that added together give a palindrome (447744).

The spelling of 134313313431 in words is "one hundred thirty-four billion, three hundred thirteen million, three hundred thirteen thousand, four hundred thirty-one".