101322012213131 has 2 divisors, whose sum is σ = 101322012213132. Its totient is φ = 101322012213130.

The previous prime is 101322012213073. The next prime is 101322012213173. The reversal of 101322012213131 is 131312210223101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101322012213131 - 2¹⁰ = 101322012212107 is a prime.

It is a super-2 number, since 2×101322012213131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101322012213097 and 101322012213106.

It is not a weakly prime, because it can be changed into another prime (101322012215131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661006106565 + 50661006106566.

It is an arithmetic number, because the mean of its divisors is an integer number (50661006106566).

Almost surely, 2^{101322012213131} is an apocalyptic number.

101322012213131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322012213131 is an equidigital number, since it uses as much as digits as its factorization.

101322012213131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101322012213131 its reverse (131312210223101), we get a palindrome (232634222436232).

The spelling of 101322012213131 in words is "one hundred one trillion, three hundred twenty-two billion, twelve million, two hundred thirteen thousand, one hundred thirty-one".