1011130013311 has 24 divisors (see below), whose sum is σ = 1125967070592. Its totient is φ = 907190288400.

The previous prime is 1011130013263. The next prime is 1011130013317. The reversal of 1011130013311 is 1133100311101.

It is not a de Polignac number, because 1011130013311 - 2²⁹ = 1010593142399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011130013317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9699910 + ... + 9803596.

It is an arithmetic number, because the mean of its divisors is an integer number (46915294608).

Almost surely, 2^{1011130013311} is an apocalyptic number.

1011130013311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011130013311 is a deficient number, since it is larger than the sum of its proper divisors (114837057281).

1011130013311 is a wasteful number, since it uses less digits than its factorization.

1011130013311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104763 (or 104752 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1011130013311 its reverse (1133100311101), we get a palindrome (2144230324412).

The spelling of 1011130013311 in words is "one trillion, eleven billion, one hundred thirty million, thirteen thousand, three hundred eleven".