10001133133211 has 16 divisors (see below), whose sum is σ = 11405733043968. Its totient is φ = 8680562272800.

The previous prime is 10001133133183. The next prime is 10001133133217. The reversal of 10001133133211 is 11233133110001.

It is not a de Polignac number, because 10001133133211 - 2²² = 10001128938907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001133133217) 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, 36397481 + ... + 36671226.

It is an arithmetic number, because the mean of its divisors is an integer number (712858315248).

Almost surely, 2^{10001133133211} is an apocalyptic number.

10001133133211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001133133211 is a deficient number, since it is larger than the sum of its proper divisors (1404599910757).

10001133133211 is a wasteful number, since it uses less digits than its factorization.

10001133133211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73069282.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10001133133211 its reverse (11233133110001), we get a palindrome (21234266243212).

The spelling of 10001133133211 in words is "ten trillion, one billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred eleven".