1011120223311 has 24 divisors (see below), whose sum is σ = 1636341988944. Its totient is φ = 596237967360.

The previous prime is 1011120223259. The next prime is 1011120223319. The reversal of 1011120223311 is 1133220211101.

1011120223311 is a `hidden beast` number, since 1 + 0 + 11 + 120 + 223 + 311 = 666.

It is not a de Polignac number, because 1011120223311 - 2¹⁸ = 1011119961167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011120223319) 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, 138014386 + ... + 138021711.

It is an arithmetic number, because the mean of its divisors is an integer number (68180916206).

Almost surely, 2^{1011120223311} is an apocalyptic number.

1011120223311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011120223311 is a deficient number, since it is larger than the sum of its proper divisors (625221765633).

1011120223311 is a wasteful number, since it uses less digits than its factorization.

1011120223311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276036151 (or 276036148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011120223311 its reverse (1133220211101), we get a palindrome (2144340434412).

The spelling of 1011120223311 in words is "one trillion, eleven billion, one hundred twenty million, two hundred twenty-three thousand, three hundred eleven".