111133133040401 has 2 divisors, whose sum is σ = 111133133040402. Its totient is φ = 111133133040400.

The previous prime is 111133133040361. The next prime is 111133133040439. The reversal of 111133133040401 is 104040331331111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104006240739025 + 7126892301376 = 10198345^2 + 2669624^2 .

It is a cyclic number.

It is not a de Polignac number, because 111133133040401 - 2⁴⁶ = 40764388862737 is a prime.

It is not a weakly prime, because it can be changed into another prime (111133133040481) 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 as a sum of consecutive naturals, namely, 55566566520200 + 55566566520201.

It is an arithmetic number, because the mean of its divisors is an integer number (55566566520201).

Almost surely, 2^{111133133040401} is an apocalyptic number.

It is an amenable number.

111133133040401 is a deficient number, since it is larger than the sum of its proper divisors (1).

111133133040401 is an equidigital number, since it uses as much as digits as its factorization.

111133133040401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 111133133040401 its reverse (104040331331111), we get a palindrome (215173464371512).

The spelling of 111133133040401 in words is "one hundred eleven trillion, one hundred thirty-three billion, one hundred thirty-three million, forty thousand, four hundred one".