10000133010101 has 8 divisors (see below), whose sum is σ = 10769544101400. Its totient is φ = 9230746217472.

The previous prime is 10000133010061. The next prime is 10000133010137. The reversal of 10000133010101 is 10101033100001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3754503076 + 9996378507025 = 61274^2 + 3161705^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000133010101 - 2⁶ = 10000133010037 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 (10000133610101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5215400 + ... + 6870273.

It is an arithmetic number, because the mean of its divisors is an integer number (1346193012675).

Almost surely, 2^{10000133010101} is an apocalyptic number.

It is an amenable number.

10000133010101 is a deficient number, since it is larger than the sum of its proper divisors (769411091299).

10000133010101 is a wasteful number, since it uses less digits than its factorization.

10000133010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12149335.

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

Adding to 10000133010101 its reverse (10101033100001), we get a palindrome (20101166110102).

The spelling of 10000133010101 in words is "ten trillion, one hundred thirty-three million, ten thousand, one hundred one".