13013400 has 144 divisors (see below), whose sum is σ = 43200360. Its totient is φ = 3238400.

The previous prime is 13013393. The next prime is 13013417. The reversal of 13013400 is 431031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 317380 + ... + 317420.

Almost surely, 2^13013400 is an apocalyptic number.

13013400 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 13013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600180).

13013400 is an abundant number, since it is smaller than the sum of its proper divisors (30186960).

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

13013400 is a wasteful number, since it uses less digits than its factorization.

13013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13013400 is about 3607.4090425124. The cubic root of 13013400 is about 235.2142304778.

Adding to 13013400 its reverse (431031), we get a palindrome (13444431).

It can be divided in two parts, 130 and 13400, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 13013400 in words is "thirteen million, thirteen thousand, four hundred".