1011311112031 has 16 divisors (see below), whose sum is σ = 1168676183808. Its totient is φ = 864899798400.

The previous prime is 1011311112011. The next prime is 1011311112059. The reversal of 1011311112031 is 1302111131101.

It is not a de Polignac number, because 1011311112031 - 2⁷ = 1011311111903 is a prime.

It is a super-2 number, since 2×1011311112031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011311111996 and 1011311112014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011311112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815475 + ... + 1639396.

It is an arithmetic number, because the mean of its divisors is an integer number (73042261488).

Almost surely, 2^{1011311112031} is an apocalyptic number.

1011311112031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011311112031 is a deficient number, since it is larger than the sum of its proper divisors (157365071777).

1011311112031 is a wasteful number, since it uses less digits than its factorization.

1011311112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457102.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1011311112031 its reverse (1302111131101), we get a palindrome (2313422243132).

The spelling of 1011311112031 in words is "one trillion, eleven billion, three hundred eleven million, one hundred twelve thousand, thirty-one".