10321041122343 has 64 divisors (see below), whose sum is σ = 17626925859840. Its totient is φ = 5846484009600.

The previous prime is 10321041122269. The next prime is 10321041122393. The reversal of 10321041122343 is 34322114012301.

10321041122343 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 10 + 411 + 2 + 234 + 3 = 666.

It is not a de Polignac number, because 10321041122343 - 2¹⁸ = 10321040860199 is a prime.

It is a super-3 number, since 3×10321041122343³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321041122393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23076721 + ... + 23519717.

It is an arithmetic number, because the mean of its divisors is an integer number (275420716560).

Almost surely, 2^{10321041122343} is an apocalyptic number.

10321041122343 is a deficient number, since it is larger than the sum of its proper divisors (7305884737497).

10321041122343 is a wasteful number, since it uses less digits than its factorization.

10321041122343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444085 (or 444079 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10321041122343 its reverse (34322114012301), we get a palindrome (44643155134644).

The spelling of 10321041122343 in words is "ten trillion, three hundred twenty-one billion, forty-one million, one hundred twenty-two thousand, three hundred forty-three".