1011102213133 has 2 divisors, whose sum is σ = 1011102213134. Its totient is φ = 1011102213132.

The previous prime is 1011102213131. The next prime is 1011102213161. The reversal of 1011102213133 is 3313122011101.

1011102213133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 590910451849 + 420191761284 = 768707^2 + 648222^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011102213133 - 2¹ = 1011102213131 is a prime.

It is a super-3 number, since 3×1011102213133³ (a number of 37 digits) contains 333 as substring.

Together with 1011102213131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1011102213133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011102213131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505551106566 + 505551106567.

It is an arithmetic number, because the mean of its divisors is an integer number (505551106567).

Almost surely, 2^{1011102213133} is an apocalyptic number.

It is an amenable number.

1011102213133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011102213133 is an equidigital number, since it uses as much as digits as its factorization.

1011102213133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1011102213133 its reverse (3313122011101), we get a palindrome (4324224224234).

The spelling of 1011102213133 in words is "one trillion, eleven billion, one hundred two million, two hundred thirteen thousand, one hundred thirty-three".