1010113313121 has 48 divisors (see below), whose sum is σ = 1623569717952. Its totient is φ = 599956156800.

The previous prime is 1010113313023. The next prime is 1010113313141. The reversal of 1010113313121 is 1213133110101.

1010113313121 is a `hidden beast` number, since 1 + 0 + 10 + 11 + 331 + 312 + 1 = 666.

It is not a de Polignac number, because 1010113313121 - 2⁹ = 1010113312609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010113313094 and 1010113313103.

It is not an unprimeable number, because it can be changed into a prime (1010113313141) 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, 4524091 + ... + 4742111.

It is an arithmetic number, because the mean of its divisors is an integer number (33824369124).

Almost surely, 2^{1010113313121} is an apocalyptic number.

1010113313121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010113313121 is a deficient number, since it is larger than the sum of its proper divisors (613456404831).

1010113313121 is a wasteful number, since it uses less digits than its factorization.

1010113313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218974 (or 218971 counting only the distinct ones).

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

Adding to 1010113313121 its reverse (1213133110101), we get a palindrome (2223246423222).

The spelling of 1010113313121 in words is "one trillion, ten billion, one hundred thirteen million, three hundred thirteen thousand, one hundred twenty-one".