100022331213113 has 2 divisors, whose sum is σ = 100022331213114. Its totient is φ = 100022331213112.

The previous prime is 100022331213097. The next prime is 100022331213131. The reversal of 100022331213113 is 311312133220001.

Together with next prime (100022331213131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96426350974864 + 3595980238249 = 9819692^2 + 1896307^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022331213113 - 2⁴ = 100022331213097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100022331213143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011165606556 + 50011165606557.

It is an arithmetic number, because the mean of its divisors is an integer number (50011165606557).

Almost surely, 2^{100022331213113} is an apocalyptic number.

It is an amenable number.

100022331213113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022331213113 is an equidigital number, since it uses as much as digits as its factorization.

100022331213113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 100022331213113 its reverse (311312133220001), we get a palindrome (411334464433114).

The spelling of 100022331213113 in words is "one hundred trillion, twenty-two billion, three hundred thirty-one million, two hundred thirteen thousand, one hundred thirteen".