100022133231413 has 2 divisors, whose sum is σ = 100022133231414. Its totient is φ = 100022133231412.

The previous prime is 100022133231403. The next prime is 100022133231431. The reversal of 100022133231413 is 314132331220001.

It is a happy number.

Together with next prime (100022133231431) 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., 84253435187089 + 15768698044324 = 9178967^2 + 3970982^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022133231413 - 2¹⁰ = 100022133230389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022133231403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011066615706 + 50011066615707.

It is an arithmetic number, because the mean of its divisors is an integer number (50011066615707).

Almost surely, 2^{100022133231413} is an apocalyptic number.

It is an amenable number.

100022133231413 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022133231413 is an equidigital number, since it uses as much as digits as its factorization.

100022133231413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 100022133231413 its reverse (314132331220001), we get a palindrome (414154464451414).

The spelling of 100022133231413 in words is "one hundred trillion, twenty-two billion, one hundred thirty-three million, two hundred thirty-one thousand, four hundred thirteen".