211131013 has 2 divisors, whose sum is σ = 211131014. Its totient is φ = 211131012.

The previous prime is 211130993. The next prime is 211131029. The reversal of 211131013 is 310131112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105822369 + 105308644 = 10287^2 + 10262^2 .

It is a cyclic number.

It is not a de Polignac number, because 211131013 - 2¹⁷ = 210999941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211130984 and 211131002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211131083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105565506 + 105565507.

It is an arithmetic number, because the mean of its divisors is an integer number (105565507).

Almost surely, 2^211131013 is an apocalyptic number.

It is an amenable number.

211131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211131013 is an equidigital number, since it uses as much as digits as its factorization.

211131013 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.

The square root of 211131013 is about 14530.3479999620. The cubic root of 211131013 is about 595.4573730668.

Adding to 211131013 its reverse (310131112), we get a palindrome (521262125).

Subtracting 211131013 from its reverse (310131112), we obtain a palindrome (99000099).

It can be divided in two parts, 2111 and 31013, that added together give a square (33124 = 182²).

The spelling of 211131013 in words is "two hundred eleven million, one hundred thirty-one thousand, thirteen".