10442240311113 has 12 divisors (see below), whose sum is σ = 16243484928580. Its totient is φ = 6425994037536.

The previous prime is 10442240311073. The next prime is 10442240311133. The reversal of 10442240311113 is 31111304224401.

It is a happy number.

10442240311113 is a `hidden beast` number, since 10 + 4 + 4 + 224 + 0 + 311 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5118870050064 + 5323370261049 = 2262492^2 + 2307243^2 .

It is not a de Polignac number, because 10442240311113 - 2¹⁷ = 10442240180041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10442240311133) 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 11 ways as a sum of consecutive naturals, for example, 44624958478 + ... + 44624958711.

Almost surely, 2^{10442240311113} is an apocalyptic number.

10442240311113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10442240311113 is a deficient number, since it is larger than the sum of its proper divisors (5801244617467).

10442240311113 is a wasteful number, since it uses less digits than its factorization.

10442240311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89249917208 (or 89249917205 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10442240311113 its reverse (31111304224401), we get a palindrome (41553544535514).

The spelling of 10442240311113 in words is "ten trillion, four hundred forty-two billion, two hundred forty million, three hundred eleven thousand, one hundred thirteen".