100312201031213 has 2 divisors, whose sum is σ = 100312201031214. Its totient is φ = 100312201031212.

The previous prime is 100312201031171. The next prime is 100312201031219. The reversal of 100312201031213 is 312130102213001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88369080633289 + 11943120397924 = 9400483^2 + 3455882^2 .

It is a cyclic number.

It is not a de Polignac number, because 100312201031213 - 2⁶ = 100312201031149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100312201031219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156100515606 + 50156100515607.

It is an arithmetic number, because the mean of its divisors is an integer number (50156100515607).

Almost surely, 2^{100312201031213} is an apocalyptic number.

It is an amenable number.

100312201031213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312201031213 is an equidigital number, since it uses as much as digits as its factorization.

100312201031213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100312201031213 its reverse (312130102213001), we get a palindrome (412442303244214).

The spelling of 100312201031213 in words is "one hundred trillion, three hundred twelve billion, two hundred one million, thirty-one thousand, two hundred thirteen".