13020224100 has 216 divisors, whose sum is σ = 42416993472. Its totient is φ = 3065145600.

The previous prime is 13020224089. The next prime is 13020224111. The reversal of 13020224100 is 142202031.

It is an interprime number because it is at equal distance from previous prime (13020224089) and next prime (13020224111).

It is a super-2 number, since 2×13020224100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13020224100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2059945 + ... + 2066255.

Almost surely, 2^13020224100 is an apocalyptic number.

13020224100 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 13020224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21208496736).

13020224100 is an abundant number, since it is smaller than the sum of its proper divisors (29396769372).

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

13020224100 is a wasteful number, since it uses less digits than its factorization.

13020224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6387 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13020224100 its reverse (142202031), we get a palindrome (13162426131).

The spelling of 13020224100 in words is "thirteen billion, twenty million, two hundred twenty-four thousand, one hundred".