2131140101261 has 2 divisors, whose sum is σ = 2131140101262. Its totient is φ = 2131140101260.

The previous prime is 2131140101201. The next prime is 2131140101281. The reversal of 2131140101261 is 1621010411312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1066043860036 + 1065096241225 = 1032494^2 + 1032035^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131140101261 - 2¹⁸ = 2131139839117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131140101201) 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, 1065570050630 + 1065570050631.

It is an arithmetic number, because the mean of its divisors is an integer number (1065570050631).

Almost surely, 2^{2131140101261} is an apocalyptic number.

It is an amenable number.

2131140101261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131140101261 is an equidigital number, since it uses as much as digits as its factorization.

2131140101261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 2131140101261 its reverse (1621010411312), we get a palindrome (3752150512573).

The spelling of 2131140101261 in words is "two trillion, one hundred thirty-one billion, one hundred forty million, one hundred one thousand, two hundred sixty-one".