40113322121 has 2 divisors, whose sum is σ = 40113322122. Its totient is φ = 40113322120.

The previous prime is 40113322079. The next prime is 40113322141. The reversal of 40113322121 is 12122331104.

It is an a-pointer prime, because the next prime (40113322141) can be obtained adding 40113322121 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36802585600 + 3310736521 = 191840^2 + 57539^2 .

It is a cyclic number.

It is not a de Polignac number, because 40113322121 - 2¹⁴ = 40113305737 is a prime.

It is a super-3 number, since 3×40113322121³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 40113322093 and 40113322102.

It is not a weakly prime, because it can be changed into another prime (40113322141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20056661060 + 20056661061.

It is an arithmetic number, because the mean of its divisors is an integer number (20056661061).

Almost surely, 2^40113322121 is an apocalyptic number.

It is an amenable number.

40113322121 is a deficient number, since it is larger than the sum of its proper divisors (1).

40113322121 is an equidigital number, since it uses as much as digits as its factorization.

40113322121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 40113322121 its reverse (12122331104), we get a palindrome (52235653225).

The spelling of 40113322121 in words is "forty billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred twenty-one".