101111130002133 has 12 divisors (see below), whose sum is σ = 146119592351148. Its totient is φ = 67375028148480.

The previous prime is 101111130001951. The next prime is 101111130002189. The reversal of 101111130002133 is 331200031111101.

It can be written as a sum of positive squares in 2 ways, for example, as 29611641788964 + 71499488213169 = 5441658^2 + 8455737^2 .

It is not a de Polignac number, because 101111130002133 - 2³⁷ = 100973691048661 is a prime.

It is a super-3 number, since 3×101111130002133³ (a number of 43 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 an unprimeable number, because it can be changed into a prime (101111130002833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2699301310 + ... + 2699338767.

It is an arithmetic number, because the mean of its divisors is an integer number (12176632695929).

Almost surely, 2^{101111130002133} is an apocalyptic number.

It is an amenable number.

101111130002133 is a deficient number, since it is larger than the sum of its proper divisors (45008462349015).

101111130002133 is a wasteful number, since it uses less digits than its factorization.

101111130002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5398642164 (or 5398642161 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101111130002133 its reverse (331200031111101), we get a palindrome (432311161113234).

The spelling of 101111130002133 in words is "one hundred one trillion, one hundred eleven billion, one hundred thirty million, two thousand, one hundred thirty-three".