343331020133343 has 72 divisors (see below), whose sum is σ = 550424774934944. Its totient is φ = 206048920936320.

The previous prime is 343331020133251. The next prime is 343331020133359.

343331020133343 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 310 + 2 + 0 + 1 + 3 + 334 + 3 = 666.

343331020133343 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-343331020133343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343331020133298 and 343331020133307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343331020132343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2655713421 + ... + 2655842697.

Almost surely, 2^{343331020133343} is an apocalyptic number.

343331020133343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343331020133343 is a deficient number, since it is larger than the sum of its proper divisors (207093754801601).

343331020133343 is a wasteful number, since it uses less digits than its factorization.

343331020133343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153085 (or 153071 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

The spelling of 343331020133343 in words is "three hundred forty-three trillion, three hundred thirty-one billion, twenty million, one hundred thirty-three thousand, three hundred forty-three".