10001001000133 has 32 divisors (see below), whose sum is σ = 11784489437952. Its totient is φ = 8367418022400.

The previous prime is 10001001000131. The next prime is 10001001000227. The reversal of 10001001000133 is 33100010010001.

It is a cyclic number.

It is not a de Polignac number, because 10001001000133 - 2¹ = 10001001000131 is a prime.

It is a super-2 number, since 2×10001001000133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001000131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188100073 + ... + 188153233.

It is an arithmetic number, because the mean of its divisors is an integer number (368265294936).

Almost surely, 2^{10001001000133} is an apocalyptic number.

10001001000133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10001001000133 is a deficient number, since it is larger than the sum of its proper divisors (1783488437819).

10001001000133 is a wasteful number, since it uses less digits than its factorization.

10001001000133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57085.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10001001000133 its reverse (33100010010001), we get a palindrome (43101011010134).

It can be divided in two parts, 100010010001 and 33, that multiplied together give a palindrome (3300330330033).

The spelling of 10001001000133 in words is "ten trillion, one billion, one million, one hundred thirty-three", and thus it is an aban number.