1013013110011 has 48 divisors (see below), whose sum is σ = 1232839548000. Its totient is φ = 829110256128.

The previous prime is 1013013110009. The next prime is 1013013110027. The reversal of 1013013110011 is 1100113103101.

It is not a de Polignac number, because 1013013110011 - 2¹ = 1013013110009 is a prime.

It is a super-2 number, since 2×1013013110011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013013109973 and 1013013110000.

It is not an unprimeable number, because it can be changed into a prime (1013013110311) 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, 65990965 + ... + 66006313.

It is an arithmetic number, because the mean of its divisors is an integer number (25684157250).

Almost surely, 2^{1013013110011} is an apocalyptic number.

1013013110011 is a deficient number, since it is larger than the sum of its proper divisors (219826437989).

1013013110011 is a wasteful number, since it uses less digits than its factorization.

1013013110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16076 (or 16069 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1013013110011 its reverse (1100113103101), we get a palindrome (2113126213112).

The spelling of 1013013110011 in words is "one trillion, thirteen billion, thirteen million, one hundred ten thousand, eleven".