101231011011131 has 2 divisors, whose sum is σ = 101231011011132. Its totient is φ = 101231011011130.

The previous prime is 101231011011089. The next prime is 101231011011227. The reversal of 101231011011131 is 131110110132101.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (131110110132101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101231011011131 - 2¹⁴ = 101231010994747 is a prime.

It is a super-2 number, since 2×101231011011131² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101231011091131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50615505505565 + 50615505505566.

It is an arithmetic number, because the mean of its divisors is an integer number (50615505505566).

Almost surely, 2^{101231011011131} is an apocalyptic number.

101231011011131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101231011011131 is an equidigital number, since it uses as much as digits as its factorization.

101231011011131 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 17.

Adding to 101231011011131 its reverse (131110110132101), we get a palindrome (232341121143232).

The spelling of 101231011011131 in words is "one hundred one trillion, two hundred thirty-one billion, eleven million, eleven thousand, one hundred thirty-one".