40221003001301 has 2 divisors, whose sum is σ = 40221003001302. Its totient is φ = 40221003001300.

The previous prime is 40221003001273. The next prime is 40221003001307. The reversal of 40221003001301 is 10310030012204.

40221003001301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40104482496100 + 116520505201 = 6332810^2 + 341351^2 .

It is a cyclic number.

It is not a de Polignac number, because 40221003001301 - 2³⁸ = 39946125094357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40221003001301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40221003001307) 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, 20110501500650 + 20110501500651.

It is an arithmetic number, because the mean of its divisors is an integer number (20110501500651).

Almost surely, 2^{40221003001301} is an apocalyptic number.

It is an amenable number.

40221003001301 is a deficient number, since it is larger than the sum of its proper divisors (1).

40221003001301 is an equidigital number, since it uses as much as digits as its factorization.

40221003001301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 40221003001301 its reverse (10310030012204), we get a palindrome (50531033013505).

The spelling of 40221003001301 in words is "forty trillion, two hundred twenty-one billion, three million, one thousand, three hundred one".