10013434444093 has 2 divisors, whose sum is σ = 10013434444094. Its totient is φ = 10013434444092.

The previous prime is 10013434444067. The next prime is 10013434444121. The reversal of 10013434444093 is 39044443431001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8511444483844 + 1501989960249 = 2917438^2 + 1225557^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013434444093 - 2⁹ = 10013434443581 is a prime.

It is a super-2 number, since 2×10013434444093² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013434444193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006717222046 + 5006717222047.

It is an arithmetic number, because the mean of its divisors is an integer number (5006717222047).

Almost surely, 2^{10013434444093} is an apocalyptic number.

It is an amenable number.

10013434444093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013434444093 is an equidigital number, since it uses as much as digits as its factorization.

10013434444093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 40.

Adding to 10013434444093 its reverse (39044443431001), we get a palindrome (49057877875094).

The spelling of 10013434444093 in words is "ten trillion, thirteen billion, four hundred thirty-four million, four hundred forty-four thousand, ninety-three".