13020100 has 18 divisors (see below), whose sum is σ = 28253834. Its totient is φ = 5208000.

The previous prime is 13020071. The next prime is 13020103. The reversal of 13020100 is 102031.

13020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 232324 + 12787776 = 482^2 + 3576^2 .

It is not an unprimeable number, because it can be changed into a prime (13020103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65001 + ... + 65200.

Almost surely, 2^13020100 is an apocalyptic number.

13020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020100 is an abundant number, since it is smaller than the sum of its proper divisors (15233734).

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

13020100 is a wasteful number, since it uses less digits than its factorization.

13020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130215 (or 130208 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 13020100 is about 3608.3375673570. The cubic root of 13020100 is about 235.2545905416.

Adding to 13020100 its reverse (102031), we get a palindrome (13122131).

The spelling of 13020100 in words is "thirteen million, twenty thousand, one hundred".