10334041133993 has 2 divisors, whose sum is σ = 10334041133994. Its totient is φ = 10334041133992.

The previous prime is 10334041133947. The next prime is 10334041134031. The reversal of 10334041133993 is 39933114043301.

10334041133993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6763161969664 + 3570879164329 = 2600608^2 + 1889677^2 .

It is a cyclic number.

It is not a de Polignac number, because 10334041133993 - 2⁶ = 10334041133929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10334041133393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5167020566996 + 5167020566997.

It is an arithmetic number, because the mean of its divisors is an integer number (5167020566997).

Almost surely, 2^{10334041133993} is an apocalyptic number.

It is an amenable number.

10334041133993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10334041133993 is an equidigital number, since it uses as much as digits as its factorization.

10334041133993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 314928, while the sum is 44.

The spelling of 10334041133993 in words is "ten trillion, three hundred thirty-four billion, forty-one million, one hundred thirty-three thousand, nine hundred ninety-three".