213112032137 has 2 divisors, whose sum is σ = 213112032138. Its totient is φ = 213112032136.

The previous prime is 213112032101. The next prime is 213112032139. The reversal of 213112032137 is 731230211312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153837312841 + 59274719296 = 392221^2 + 243464^2 .

It is a cyclic number.

It is not a de Polignac number, because 213112032137 - 2¹⁶ = 213111966601 is a prime.

Together with 213112032139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213112032139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556016068 + 106556016069.

It is an arithmetic number, because the mean of its divisors is an integer number (106556016069).

Almost surely, 2^213112032137 is an apocalyptic number.

It is an amenable number.

213112032137 is a deficient number, since it is larger than the sum of its proper divisors (1).

213112032137 is an equidigital number, since it uses as much as digits as its factorization.

213112032137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 213112032137 its reverse (731230211312), we get a palindrome (944342243449).

The spelling of 213112032137 in words is "two hundred thirteen billion, one hundred twelve million, thirty-two thousand, one hundred thirty-seven".