2001131101 has 2 divisors, whose sum is σ = 2001131102. Its totient is φ = 2001131100.

The previous prime is 2001131059. The next prime is 2001131117. The reversal of 2001131101 is 1011311002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1319868900 + 681262201 = 36330^2 + 26101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001131101 - 2¹³ = 2001122909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001131131) 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, 1000565550 + 1000565551.

It is an arithmetic number, because the mean of its divisors is an integer number (1000565551).

Almost surely, 2^2001131101 is an apocalyptic number.

It is an amenable number.

2001131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001131101 is an equidigital number, since it uses as much as digits as its factorization.

2001131101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 2001131101 is about 44734.0038561272. The cubic root of 2001131101 is about 1260.1585214597.

Adding to 2001131101 its reverse (1011311002), we get a palindrome (3012442103).

The spelling of 2001131101 in words is "two billion, one million, one hundred thirty-one thousand, one hundred one".