101111322131 has 2 divisors, whose sum is σ = 101111322132. Its totient is φ = 101111322130.

The previous prime is 101111322113. The next prime is 101111322139. The reversal of 101111322131 is 131223111101.

Together with previous prime (101111322113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101111322131 - 2¹⁴ = 101111305747 is a prime.

It is a super-2 number, since 2×101111322131² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101111322139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555661065 + 50555661066.

It is an arithmetic number, because the mean of its divisors is an integer number (50555661066).

Almost surely, 2^101111322131 is an apocalyptic number.

101111322131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111322131 is an equidigital number, since it uses as much as digits as its factorization.

101111322131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101111322131 its reverse (131223111101), we get a palindrome (232334433232).

The spelling of 101111322131 in words is "one hundred one billion, one hundred eleven million, three hundred twenty-two thousand, one hundred thirty-one".