2013023311101 has 96 divisors (see below), whose sum is σ = 3270542026752. Its totient is φ = 1182583946880.

The previous prime is 2013023311043. The next prime is 2013023311121. The reversal of 2013023311101 is 1011133203102.

2013023311101 is a `hidden beast` number, since 20 + 1 + 302 + 331 + 1 + 10 + 1 = 666.

It is not a de Polignac number, because 2013023311101 - 2²⁶ = 2012956202237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013023311121) 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, 521101696 + ... + 521105558.

It is an arithmetic number, because the mean of its divisors is an integer number (34068146112).

Almost surely, 2^{2013023311101} is an apocalyptic number.

It is an amenable number.

2013023311101 is a deficient number, since it is larger than the sum of its proper divisors (1257518715651).

2013023311101 is a wasteful number, since it uses less digits than its factorization.

2013023311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2013023311101 its reverse (1011133203102), we get a palindrome (3024156514203).

The spelling of 2013023311101 in words is "two trillion, thirteen billion, twenty-three million, three hundred eleven thousand, one hundred one".