101010001000133 has 2 divisors, whose sum is σ = 101010001000134. Its totient is φ = 101010001000132.

The previous prime is 101010000999979. The next prime is 101010001000177. The reversal of 101010001000133 is 331000100010101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81957841045249 + 19052159954884 = 9053057^2 + 4364878^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010001000133 - 2²² = 101009996805829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010001090133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000500066 + 50505000500067.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000500067).

Almost surely, 2^{101010001000133} is an apocalyptic number.

It is an amenable number.

101010001000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010001000133 is an equidigital number, since it uses as much as digits as its factorization.

101010001000133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 101010001000133 its reverse (331000100010101), we get a palindrome (432010101010234).

The spelling of 101010001000133 in words is "one hundred one trillion, ten billion, one million, one hundred thirty-three", and thus it is an aban number.