2011312001013 has 16 divisors (see below), whose sum is σ = 3101782365696. Its totient is φ = 1135473899760.

The previous prime is 2011312000993. The next prime is 2011312001059. The reversal of 2011312001013 is 3101002131102.

It is a happy number.

It is not a de Polignac number, because 2011312001013 - 2⁶ = 2011312000949 is a prime.

It is a super-2 number, since 2×2011312001013² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2011312000983 and 2011312001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011312009013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576966703 + ... + 576970188.

It is an arithmetic number, because the mean of its divisors is an integer number (193861397856).

Almost surely, 2^{2011312001013} is an apocalyptic number.

It is an amenable number.

2011312001013 is a deficient number, since it is larger than the sum of its proper divisors (1090470364683).

2011312001013 is a wasteful number, since it uses less digits than its factorization.

2011312001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153936984.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2011312001013 its reverse (3101002131102), we get a palindrome (5112314132115).

The spelling of 2011312001013 in words is "two trillion, eleven billion, three hundred twelve million, one thousand, thirteen".