31001424010001 has 2 divisors, whose sum is σ = 31001424010002. Its totient is φ = 31001424010000.

The previous prime is 31001424009991. The next prime is 31001424010057. The reversal of 31001424010001 is 10001042410013.

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., 29549878560400 + 1451545449601 = 5435980^2 + 1204801^2 .

It is a cyclic number.

It is not a de Polignac number, because 31001424010001 - 2⁶ = 31001424009937 is a prime.

It is a super-3 number, since 3×31001424010001³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (31001424030001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500712005000 + 15500712005001.

It is an arithmetic number, because the mean of its divisors is an integer number (15500712005001).

Almost surely, 2^{31001424010001} is an apocalyptic number.

It is an amenable number.

31001424010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31001424010001 is an equidigital number, since it uses as much as digits as its factorization.

31001424010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 31001424010001 its reverse (10001042410013), we get a palindrome (41002466420014).

The spelling of 31001424010001 in words is "thirty-one trillion, one billion, four hundred twenty-four million, ten thousand, one".