1031101323101 has 2 divisors, whose sum is σ = 1031101323102. Its totient is φ = 1031101323100.

The previous prime is 1031101323097. The next prime is 1031101323211. The reversal of 1031101323101 is 1013231011301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 784772743876 + 246328579225 = 885874^2 + 496315^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031101323101 - 2² = 1031101323097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1031101323101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031101323001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515550661550 + 515550661551.

It is an arithmetic number, because the mean of its divisors is an integer number (515550661551).

Almost surely, 2^{1031101323101} is an apocalyptic number.

It is an amenable number.

1031101323101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031101323101 is an equidigital number, since it uses as much as digits as its factorization.

1031101323101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1031101323101 its reverse (1013231011301), we get a palindrome (2044332334402).

The spelling of 1031101323101 in words is "one trillion, thirty-one billion, one hundred one million, three hundred twenty-three thousand, one hundred one".