134314313200331 has 8 divisors (see below), whose sum is σ = 146524832940528. Its totient is φ = 122103814732000.

The previous prime is 134314313200307. The next prime is 134314313200387. The reversal of 134314313200331 is 133002313413431.

It is a happy number.

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 134314313200331 - 2⁶ = 134314313200267 is a prime.

It is a super-2 number, since 2×134314313200331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134314313200931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9737621 + ... + 19064361.

It is an arithmetic number, because the mean of its divisors is an integer number (18315604117566).

Almost surely, 2^{134314313200331} is an apocalyptic number.

134314313200331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134314313200331 is a deficient number, since it is larger than the sum of its proper divisors (12210519740197).

134314313200331 is a wasteful number, since it uses less digits than its factorization.

134314313200331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635933.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 134314313200331 its reverse (133002313413431), we get a palindrome (267316626613762).

The spelling of 134314313200331 in words is "one hundred thirty-four trillion, three hundred fourteen billion, three hundred thirteen million, two hundred thousand, three hundred thirty-one".