40163632112113 has 2 divisors, whose sum is σ = 40163632112114. Its totient is φ = 40163632112112.

The previous prime is 40163632112111. The next prime is 40163632112159. The reversal of 40163632112113 is 31121123636104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38012502423184 + 2151129688929 = 6165428^2 + 1466673^2 .

It is a cyclic number.

It is not a de Polignac number, because 40163632112113 - 2¹ = 40163632112111 is a prime.

It is a super-2 number, since 2×40163632112113² (a number of 28 digits) contains 22 as substring.

Together with 40163632112111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (40163632112111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20081816056056 + 20081816056057.

It is an arithmetic number, because the mean of its divisors is an integer number (20081816056057).

Almost surely, 2^{40163632112113} is an apocalyptic number.

It is an amenable number.

40163632112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

40163632112113 is an equidigital number, since it uses as much as digits as its factorization.

40163632112113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 34.

Adding to 40163632112113 its reverse (31121123636104), we get a palindrome (71284755748217).

The spelling of 40163632112113 in words is "forty trillion, one hundred sixty-three billion, six hundred thirty-two million, one hundred twelve thousand, one hundred thirteen".