105050101133 has 2 divisors, whose sum is σ = 105050101134. Its totient is φ = 105050101132.

The previous prime is 105050101001. The next prime is 105050101147. The reversal of 105050101133 is 331101050501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60881614564 + 44168486569 = 246742^2 + 210163^2 .

It is a cyclic number.

It is not a de Polignac number, because 105050101133 - 2³² = 100755133837 is a prime.

It is a super-3 number, since 3×105050101133³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105050101153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52525050566 + 52525050567.

It is an arithmetic number, because the mean of its divisors is an integer number (52525050567).

Almost surely, 2^105050101133 is an apocalyptic number.

It is an amenable number.

105050101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105050101133 is an equidigital number, since it uses as much as digits as its factorization.

105050101133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 20.

Adding to 105050101133 its reverse (331101050501), we get a palindrome (436151151634).

The spelling of 105050101133 in words is "one hundred five billion, fifty million, one hundred one thousand, one hundred thirty-three".