31302001001 has 2 divisors, whose sum is σ = 31302001002. Its totient is φ = 31302001000.

The previous prime is 31302000979. The next prime is 31302001013. The reversal of 31302001001 is 10010020313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31090152976 + 211848025 = 176324^2 + 14555^2 .

It is an emirp because it is prime and its reverse (10010020313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31302001001 - 2¹⁴ = 31301984617 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (31302001061) 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, 15651000500 + 15651000501.

It is an arithmetic number, because the mean of its divisors is an integer number (15651000501).

Almost surely, 2^31302001001 is an apocalyptic number.

It is an amenable number.

31302001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31302001001 is an equidigital number, since it uses as much as digits as its factorization.

31302001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31302001001 its reverse (10010020313), we get a palindrome (41312021314).

The spelling of 31302001001 in words is "thirty-one billion, three hundred two million, one thousand, one".