1010001022133 has 2 divisors, whose sum is σ = 1010001022134. Its totient is φ = 1010001022132.

The previous prime is 1010001022097. The next prime is 1010001022157. The reversal of 1010001022133 is 3312201000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 733049329489 + 276951692644 = 856183^2 + 526262^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001022133 - 2¹⁰ = 1010001021109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010001042133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000511066 + 505000511067.

It is an arithmetic number, because the mean of its divisors is an integer number (505000511067).

Almost surely, 2^{1010001022133} is an apocalyptic number.

It is an amenable number.

1010001022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001022133 is an equidigital number, since it uses as much as digits as its factorization.

1010001022133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010001022133 its reverse (3312201000101), we get a palindrome (4322202022234).

The spelling of 1010001022133 in words is "one trillion, ten billion, one million, twenty-two thousand, one hundred thirty-three".