10334311044001 has 32 divisors (see below), whose sum is σ = 12740105871360. Its totient is φ = 8185190118336.

The previous prime is 10334311043977. The next prime is 10334311044091. The reversal of 10334311044001 is 10044011343301.

It is a happy number.

It is not a de Polignac number, because 10334311044001 - 2¹⁹ = 10334310519713 is a prime.

It is a super-2 number, since 2×10334311044001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10334311044091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989661 + ... + 4652746.

It is an arithmetic number, because the mean of its divisors is an integer number (398128308480).

Almost surely, 2^{10334311044001} is an apocalyptic number.

It is an amenable number.

10334311044001 is a deficient number, since it is larger than the sum of its proper divisors (2405794827359).

10334311044001 is a wasteful number, since it uses less digits than its factorization.

10334311044001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642773.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10334311044001 its reverse (10044011343301), we get a palindrome (20378322387302).

The spelling of 10334311044001 in words is "ten trillion, three hundred thirty-four billion, three hundred eleven million, forty-four thousand, one".