21110133311001 has 48 divisors (see below), whose sum is σ = 36723661228800. Its totient is φ = 11424215721600.

The previous prime is 21110133310957. The next prime is 21110133311023. The reversal of 21110133311001 is 10011333101112.

21110133311001 is a `hidden beast` number, since 211 + 10 + 1 + 333 + 110 + 0 + 1 = 666.

It is not a de Polignac number, because 21110133311001 - 2¹⁷ = 21110133179929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21110133311051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71976226 + ... + 72268923.

It is an arithmetic number, because the mean of its divisors is an integer number (765076275600).

Almost surely, 2^{21110133311001} is an apocalyptic number.

21110133311001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21110133311001 is a deficient number, since it is larger than the sum of its proper divisors (15613527917799).

21110133311001 is a wasteful number, since it uses less digits than its factorization.

21110133311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144245286 (or 144245283 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 21110133311001 its reverse (10011333101112), we get a palindrome (31121466412113).

The spelling of 21110133311001 in words is "twenty-one trillion, one hundred ten billion, one hundred thirty-three million, three hundred eleven thousand, one".