13010022100 has 72 divisors (see below), whose sum is σ = 28575967896. Its totient is φ = 5140800000.

The previous prime is 13010022071. The next prime is 13010022119. The reversal of 13010022100 is 122001031.

It can be written as a sum of positive squares in 12 ways, for example, as 5035889296 + 7974132804 = 70964^2 + 89298^2 .

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

It is a congruent number.

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, 5462910 + ... + 5465290.

It is an arithmetic number, because the mean of its divisors is an integer number (396888443).

Almost surely, 2^13010022100 is an apocalyptic number.

13010022100 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 13010022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287983948).

13010022100 is an abundant number, since it is smaller than the sum of its proper divisors (15565945796).

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

13010022100 is a wasteful number, since it uses less digits than its factorization.

13010022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 13010022100 its reverse (122001031), we get a palindrome (13132023131).

The spelling of 13010022100 in words is "thirteen billion, ten million, twenty-two thousand, one hundred".