10002110001133 has 2 divisors, whose sum is σ = 10002110001134. Its totient is φ = 10002110001132.

The previous prime is 10002110001053. The next prime is 10002110001151. The reversal of 10002110001133 is 33110001120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8380312845129 + 1621797156004 = 2894877^2 + 1273498^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002110001133 - 2⁴¹ = 7803086745581 is a prime.

It is a super-2 number, since 2×10002110001133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002110001733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055000566 + 5001055000567.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055000567).

Almost surely, 2^{10002110001133} is an apocalyptic number.

It is an amenable number.

10002110001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002110001133 is an equidigital number, since it uses as much as digits as its factorization.

10002110001133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10002110001133 its reverse (33110001120001), we get a palindrome (43112111121134).

The spelling of 10002110001133 in words is "ten trillion, two billion, one hundred ten million, one thousand, one hundred thirty-three".