11013123 has 16 divisors (see below), whose sum is σ = 16284672. Its totient is φ = 6564000.

The previous prime is 11013097. The next prime is 11013131. The reversal of 11013123 is 32131011.

11013123 = 697² + 698² + ... + 718².

It is not a de Polignac number, because 11013123 - 2⁹ = 11012611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11013099 and 11013108.

It is not an unprimeable number, because it can be changed into a prime (11013173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723 + ... + 4748.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^11013123 is an apocalyptic number.

11013123 is a deficient number, since it is larger than the sum of its proper divisors (5271549).

11013123 is a wasteful number, since it uses less digits than its factorization.

11013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 11013123 is about 3318.6025673467. The cubic root of 11013123 is about 222.4864141854.

Adding to 11013123 its reverse (32131011), we get a palindrome (43144134).

It can be divided in two parts, 1101 and 3123, that added together give a palindrome (4224).

The spelling of 11013123 in words is "eleven million, thirteen thousand, one hundred twenty-three".