13042700 has 72 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 4648000.

The previous prime is 13042697. The next prime is 13042727. The reversal of 13042700 is 724031.

It is a happy number.

It is a super-2 number, since 2×13042700² = 340224046580000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78017 + ... + 78183.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^13042700 is an apocalyptic number.

13042700 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 13042700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

13042700 is an abundant number, since it is smaller than the sum of its proper divisors (18455284).

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

13042700 is a wasteful number, since it uses less digits than its factorization.

13042700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 13042700 is about 3611.4678456273. The cubic root of 13042700 is about 235.3906284234.

Adding to 13042700 its reverse (724031), we get a palindrome (13766731).

It can be divided in two parts, 1304 and 2700, that added together give a palindrome (4004).

The spelling of 13042700 in words is "thirteen million, forty-two thousand, seven hundred".