2011013301001 has 2 divisors, whose sum is σ = 2011013301002. Its totient is φ = 2011013301000.

The previous prime is 2011013300987. The next prime is 2011013301007. The reversal of 2011013301001 is 1001033101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1862883765625 + 148129535376 = 1364875^2 + 384876^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011013301001 - 2¹⁵ = 2011013268233 is a prime.

It is a super-3 number, since 3×2011013301001³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2011013301007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005506650500 + 1005506650501.

It is an arithmetic number, because the mean of its divisors is an integer number (1005506650501).

Almost surely, 2^{2011013301001} is an apocalyptic number.

It is an amenable number.

2011013301001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011013301001 is an equidigital number, since it uses as much as digits as its factorization.

2011013301001 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 13.

Adding to 2011013301001 its reverse (1001033101102), we get a palindrome (3012046402103).

The spelling of 2011013301001 in words is "two trillion, eleven billion, thirteen million, three hundred one thousand, one".