21113133101001 has 18 divisors (see below), whose sum is σ = 30795707493018. Its totient is φ = 13938767421120.

The previous prime is 21113133100999. The next prime is 21113133101003. The reversal of 21113133101001 is 10010133131112.

21113133101001 is a `hidden beast` number, since 21 + 11 + 313 + 310 + 10 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21113133100999) and next prime (21113133101003).

It can be written as a sum of positive squares in only one way, i.e., 18610155974601 + 2502977126400 = 4313949^2 + 1582080^2 .

It is not a de Polignac number, because 21113133101001 - 2¹ = 21113133100999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21113133101003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110466480 + ... + 110657441.

It is an arithmetic number, because the mean of its divisors is an integer number (1710872638501).

Almost surely, 2^{21113133101001} is an apocalyptic number.

It is an amenable number.

21113133101001 is a deficient number, since it is larger than the sum of its proper divisors (9682574392017).

21113133101001 is a wasteful number, since it uses less digits than its factorization.

21113133101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221124133 (or 221124027 counting only the distinct ones).

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

Adding to 21113133101001 its reverse (10010133131112), we get a palindrome (31123266232113).

The spelling of 21113133101001 in words is "twenty-one trillion, one hundred thirteen billion, one hundred thirty-three million, one hundred one thousand, one".