40005010232113 has 2 divisors, whose sum is σ = 40005010232114. Its totient is φ = 40005010232112.

The previous prime is 40005010232111. The next prime is 40005010232191. The reversal of 40005010232113 is 31123201050004.

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., 33507160600369 + 6497849631744 = 5788537^2 + 2549088^2 .

It is a cyclic number.

It is not a de Polignac number, because 40005010232113 - 2¹ = 40005010232111 is a prime.

It is a super-2 number, since 2×40005010232113² (a number of 28 digits) contains 22 as substring.

Together with 40005010232111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (40005010232111) 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 as a sum of consecutive naturals, namely, 20002505116056 + 20002505116057.

It is an arithmetic number, because the mean of its divisors is an integer number (20002505116057).

Almost surely, 2^{40005010232113} is an apocalyptic number.

It is an amenable number.

40005010232113 is a deficient number, since it is larger than the sum of its proper divisors (1).

40005010232113 is an equidigital number, since it uses as much as digits as its factorization.

40005010232113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 40005010232113 its reverse (31123201050004), we get a palindrome (71128211282117).

The spelling of 40005010232113 in words is "forty trillion, five billion, ten million, two hundred thirty-two thousand, one hundred thirteen".