101231011091131 has 2 divisors, whose sum is σ = 101231011091132. Its totient is φ = 101231011091130.

The previous prime is 101231011091087. The next prime is 101231011091143. The reversal of 101231011091131 is 131190110132101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101231011091131 - 2¹⁷ = 101231010960059 is a prime.

It is a super-2 number, since 2×101231011091131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101231011091096 and 101231011091105.

It is not a weakly prime, because it can be changed into another prime (101231011098131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50615505545565 + 50615505545566.

It is an arithmetic number, because the mean of its divisors is an integer number (50615505545566).

Almost surely, 2^{101231011091131} is an apocalyptic number.

101231011091131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101231011091131 is an equidigital number, since it uses as much as digits as its factorization.

101231011091131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 25.

It can be divided in two parts, 1012310 and 11091131, that added together give a square (12103441 = 3479²).

The spelling of 101231011091131 in words is "one hundred one trillion, two hundred thirty-one billion, eleven million, ninety-one thousand, one hundred thirty-one".