1011131101211 has 16 divisors (see below), whose sum is σ = 1260776901120. Its totient is φ = 787803166080.

The previous prime is 1011131101199. The next prime is 1011131101223. The reversal of 1011131101211 is 1121011311101.

It is an interprime number because it is at equal distance from previous prime (1011131101199) and next prime (1011131101223).

It is a de Polignac number, because none of the positive numbers 2^k-1011131101211 is a prime.

It is a super-2 number, since 2×1011131101211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011131101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86591 + ... + 1424696.

It is an arithmetic number, because the mean of its divisors is an integer number (78798556320).

Almost surely, 2^{1011131101211} is an apocalyptic number.

1011131101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011131101211 is a deficient number, since it is larger than the sum of its proper divisors (249645799909).

1011131101211 is a wasteful number, since it uses less digits than its factorization.

1011131101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519994.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 1011131101211 its reverse (1121011311101), we get a palindrome (2132142412312).

The spelling of 1011131101211 in words is "one trillion, eleven billion, one hundred thirty-one million, one hundred one thousand, two hundred eleven".