8132101210349 has 2 divisors, whose sum is σ = 8132101210350. Its totient is φ = 8132101210348.

The previous prime is 8132101210253. The next prime is 8132101210367. The reversal of 8132101210349 is 9430121012318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7639795504324 + 492305706025 = 2764018^2 + 701645^2 .

It is a cyclic number.

It is not a de Polignac number, because 8132101210349 - 2¹⁶ = 8132101144813 is a prime.

It is a super-2 number, since 2×8132101210349² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8132101210949) 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, 4066050605174 + 4066050605175.

It is an arithmetic number, because the mean of its divisors is an integer number (4066050605175).

Almost surely, 2^{8132101210349} is an apocalyptic number.

It is an amenable number.

8132101210349 is a deficient number, since it is larger than the sum of its proper divisors (1).

8132101210349 is an equidigital number, since it uses as much as digits as its factorization.

8132101210349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 8132101210349 in words is "eight trillion, one hundred thirty-two billion, one hundred one million, two hundred ten thousand, three hundred forty-nine".