2011102022313 has 48 divisors (see below), whose sum is σ = 3023407296000. Its totient is φ = 1286618788224.

The previous prime is 2011102022291. The next prime is 2011102022327. The reversal of 2011102022313 is 3132202011102.

2011102022313 is a `hidden beast` number, since 201 + 110 + 20 + 22 + 313 = 666.

It is not a de Polignac number, because 2011102022313 - 2⁶ = 2011102022249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011102022113) 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, 227521548 + ... + 227530386.

It is an arithmetic number, because the mean of its divisors is an integer number (62987652000).

Almost surely, 2^{2011102022313} is an apocalyptic number.

It is an amenable number.

2011102022313 is a deficient number, since it is larger than the sum of its proper divisors (1012305273687).

2011102022313 is a wasteful number, since it uses less digits than its factorization.

2011102022313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086 (or 14083 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2011102022313 its reverse (3132202011102), we get a palindrome (5143304033415).

The spelling of 2011102022313 in words is "two trillion, eleven billion, one hundred two million, twenty-two thousand, three hundred thirteen".