13113100 has 144 divisors (see below), whose sum is σ = 38497536. Its totient is φ = 3744000.

The previous prime is 13113091. The next prime is 13113119. The reversal of 13113100 is 131131.

13113100 = T₆₅ + T₆₆ + ... + T₄₂₈.

It is a super-2 number, since 2×13113100² = 343906783220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100035 + ... + 100165.

It is an arithmetic number, because the mean of its divisors is an integer number (267344).

Almost surely, 2^13113100 is an apocalyptic number.

13113100 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 13113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19248768).

13113100 is an abundant number, since it is smaller than the sum of its proper divisors (25384436).

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

13113100 is a wasteful number, since it uses less digits than its factorization.

13113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 13113100 is about 3621.2014580799. The cubic root of 13113100 is about 235.8133878617.

Adding to 13113100 its reverse (131131), we get a palindrome (13244231).

Multiplying 13113100 by its reverse (131131), we get a square (1719533916100 = 1311310²).

13113100 divided by its reverse (131131) gives a square (100 = 10²).

It can be divided in two parts, 131 and 13100, that multiplied together give a square (1716100 = 1310²).

The spelling of 13113100 in words is "thirteen million, one hundred thirteen thousand, one hundred".