1011313011311 has 16 divisors (see below), whose sum is σ = 1075521162240. Its totient is φ = 949335727200.

The previous prime is 1011313011257. The next prime is 1011313011337. The reversal of 1011313011311 is 1131103131101.

It is a cyclic number.

It is not a de Polignac number, because 1011313011311 - 2¹⁰ = 1011313010287 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011313011311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011313017311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251061 + ... + 2662686.

It is an arithmetic number, because the mean of its divisors is an integer number (67220072640).

Almost surely, 2^{1011313011311} is an apocalyptic number.

1011313011311 is a deficient number, since it is larger than the sum of its proper divisors (64208150929).

1011313011311 is a wasteful number, since it uses less digits than its factorization.

1011313011311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4913974.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 1011313011311 its reverse (1131103131101), we get a palindrome (2142416142412).

The spelling of 1011313011311 in words is "one trillion, eleven billion, three hundred thirteen million, eleven thousand, three hundred eleven".