101213203131011 has 2 divisors, whose sum is σ = 101213203131012. Its totient is φ = 101213203131010.

The previous prime is 101213203130969. The next prime is 101213203131013. The reversal of 101213203131011 is 110131302312101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101213203131011 - 2⁶ = 101213203130947 is a prime.

It is a super-2 number, since 2×101213203131011² (a number of 29 digits) contains 22 as substring.

Together with 101213203131013, 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 (101213203131013) 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, 50606601565505 + 50606601565506.

It is an arithmetic number, because the mean of its divisors is an integer number (50606601565506).

Almost surely, 2^{101213203131011} is an apocalyptic number.

101213203131011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101213203131011 is an equidigital number, since it uses as much as digits as its factorization.

101213203131011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101213203131011 its reverse (110131302312101), we get a palindrome (211344505443112).

The spelling of 101213203131011 in words is "one hundred one trillion, two hundred thirteen billion, two hundred three million, one hundred thirty-one thousand, eleven".