100012232001013 has 2 divisors, whose sum is σ = 100012232001014. Its totient is φ = 100012232001012.

The previous prime is 100012232000963. The next prime is 100012232001029. The reversal of 100012232001013 is 310100232210001.

It is an a-pointer prime, because the next prime (100012232001029) can be obtained adding 100012232001013 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64837570543684 + 35174661457329 = 8052178^2 + 5930823^2 .

It is an emirp because it is prime and its reverse (310100232210001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100012232001013 - 2⁹ = 100012232000501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100012232001043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006116000506 + 50006116000507.

It is an arithmetic number, because the mean of its divisors is an integer number (50006116000507).

Almost surely, 2^{100012232001013} is an apocalyptic number.

It is an amenable number.

100012232001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012232001013 is an equidigital number, since it uses as much as digits as its factorization.

100012232001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100012232001013 its reverse (310100232210001), we get a palindrome (410112464211014).

The spelling of 100012232001013 in words is "one hundred trillion, twelve billion, two hundred thirty-two million, one thousand, thirteen".