1011112232013 has 24 divisors (see below), whose sum is σ = 1573648603800. Its totient is φ = 621903519360.

The previous prime is 1011112231967. The next prime is 1011112232017. The reversal of 1011112232013 is 3102322111101.

It can be written as a sum of positive squares in 4 ways, for example, as 74858601609 + 936253630404 = 273603^2 + 967602^2 .

It is not a de Polignac number, because 1011112232013 - 2⁹ = 1011112231501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011112232017) 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, 1988998 + ... + 2445063.

It is an arithmetic number, because the mean of its divisors is an integer number (65568691825).

Almost surely, 2^{1011112232013} is an apocalyptic number.

1011112232013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1011112232013 is a deficient number, since it is larger than the sum of its proper divisors (562536371787).

1011112232013 is a wasteful number, since it uses less digits than its factorization.

1011112232013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436029 (or 4436026 counting only the distinct ones).

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

Adding to 1011112232013 its reverse (3102322111101), we get a palindrome (4113434343114).

The spelling of 1011112232013 in words is "one trillion, eleven billion, one hundred twelve million, two hundred thirty-two thousand, thirteen".