1013123412101 has 2 divisors, whose sum is σ = 1013123412102. Its totient is φ = 1013123412100.

The previous prime is 1013123412083. The next prime is 1013123412107. The reversal of 1013123412101 is 1012143213101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 818400669025 + 194722743076 = 904655^2 + 441274^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013123412101 - 2¹⁰ = 1013123411077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013123412107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506561706050 + 506561706051.

It is an arithmetic number, because the mean of its divisors is an integer number (506561706051).

Almost surely, 2^{1013123412101} is an apocalyptic number.

It is an amenable number.

1013123412101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013123412101 is an equidigital number, since it uses as much as digits as its factorization.

1013123412101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1013123412101 its reverse (1012143213101), we get a palindrome (2025266625202).

The spelling of 1013123412101 in words is "one trillion, thirteen billion, one hundred twenty-three million, four hundred twelve thousand, one hundred one".