100213311041 has 2 divisors, whose sum is σ = 100213311042. Its totient is φ = 100213311040.

The previous prime is 100213310963. The next prime is 100213311049. The reversal of 100213311041 is 140113312001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66876028816 + 33337282225 = 258604^2 + 182585^2 .

It is a cyclic number.

It is not a de Polignac number, because 100213311041 - 2¹⁰ = 100213310017 is a prime.

It is not a weakly prime, because it can be changed into another prime (100213311049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106655520 + 50106655521.

It is an arithmetic number, because the mean of its divisors is an integer number (50106655521).

Almost surely, 2^100213311041 is an apocalyptic number.

It is an amenable number.

100213311041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213311041 is an equidigital number, since it uses as much as digits as its factorization.

100213311041 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 17.

Adding to 100213311041 its reverse (140113312001), we get a palindrome (240326623042).

The spelling of 100213311041 in words is "one hundred billion, two hundred thirteen million, three hundred eleven thousand, forty-one".