211033123013313 has 6 divisors (see below), whose sum is σ = 304825622130354. Its totient is φ = 140688748675536.

The previous prime is 211033123013269. The next prime is 211033123013393. The reversal of 211033123013313 is 313310321330112.

211033123013313 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 3 + 312 + 30 + 1 + 3 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 206623576601649 + 4409546411664 = 14374407^2 + 2099892^2 .

It is not a de Polignac number, because 211033123013313 - 2¹⁸ = 211033122751169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211033123013393) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11724062389620 + ... + 11724062389637.

It is an arithmetic number, because the mean of its divisors is an integer number (50804270355059).

Almost surely, 2^{211033123013313} is an apocalyptic number.

It is an amenable number.

211033123013313 is a deficient number, since it is larger than the sum of its proper divisors (93792499117041).

211033123013313 is a wasteful number, since it uses less digits than its factorization.

211033123013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23448124779263 (or 23448124779260 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 211033123013313 its reverse (313310321330112), we get a palindrome (524343444343425).

The spelling of 211033123013313 in words is "two hundred eleven trillion, thirty-three billion, one hundred twenty-three million, thirteen thousand, three hundred thirteen".