13111020 has 108 divisors (see below), whose sum is σ = 43164576. Its totient is φ = 3219840.

The previous prime is 13111013. The next prime is 13111027. The reversal of 13111020 is 2011131.

It is an interprime number because it is at equal distance from previous prime (13111013) and next prime (13111027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13110993 and 13111011.

It is not an unprimeable number, because it can be changed into a prime (13111027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30205 + ... + 30635.

It is an arithmetic number, because the mean of its divisors is an integer number (399672).

Almost surely, 2^13111020 is an apocalyptic number.

13111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21582288).

13111020 is an abundant number, since it is smaller than the sum of its proper divisors (30053556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13111020 is a wasteful number, since it uses less digits than its factorization.

13111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 13111020 is about 3620.9142491918. The cubic root of 13111020 is about 235.8009189621.

Adding to 13111020 its reverse (2011131), we get a palindrome (15122151).

The spelling of 13111020 in words is "thirteen million, one hundred eleven thousand, twenty".