1011000133133 has 16 divisors (see below), whose sum is σ = 1016388339120. Its totient is φ = 1005630349824.

The previous prime is 1011000133127. The next prime is 1011000133141. The reversal of 1011000133133 is 3313310001101.

1011000133133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 126822878884 + 884177254249 = 356122^2 + 940307^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011000133133 - 2¹² = 1011000129037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000133103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263760185 + ... + 263764017.

It is an arithmetic number, because the mean of its divisors is an integer number (63524271195).

Almost surely, 2^{1011000133133} is an apocalyptic number.

It is an amenable number.

1011000133133 is a deficient number, since it is larger than the sum of its proper divisors (5388205987).

1011000133133 is an equidigital number, since it uses as much as digits as its factorization.

1011000133133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1011000133133 its reverse (3313310001101), we get a palindrome (4324310134234).

The spelling of 1011000133133 in words is "one trillion, eleven billion, one hundred thirty-three thousand, one hundred thirty-three".