11010311312121 has 96 divisors (see below), whose sum is σ = 18360519091200. Its totient is φ = 6287930328960.

The previous prime is 11010311312107. The next prime is 11010311312129. The reversal of 11010311312121 is 12121311301011.

11010311312121 is a `hidden beast` number, since 1 + 10 + 10 + 311 + 312 + 1 + 21 = 666.

It is not a de Polignac number, because 11010311312121 - 2²⁹ = 11009774441209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11010311312094 and 11010311312103.

It is not an unprimeable number, because it can be changed into a prime (11010311312129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325992391 + ... + 326026163.

It is an arithmetic number, because the mean of its divisors is an integer number (191255407200).

Almost surely, 2^{11010311312121} is an apocalyptic number.

11010311312121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11010311312121 is a deficient number, since it is larger than the sum of its proper divisors (7350207779079).

11010311312121 is a wasteful number, since it uses less digits than its factorization.

11010311312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34731 (or 34728 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11010311312121 its reverse (12121311301011), we get a palindrome (23131622613132).

The spelling of 11010311312121 in words is "eleven trillion, ten billion, three hundred eleven million, three hundred twelve thousand, one hundred twenty-one".