13022247800100 has 288 divisors, whose sum is σ = 47054064347136. Its totient is φ = 2701355673600.

The previous prime is 13022247800099. The next prime is 13022247800101. The reversal of 13022247800100 is 100874222031.

It is an interprime number because it is at equal distance from previous prime (13022247800099) and next prime (13022247800101).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13022247800101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13222977 + ... + 14173623.

It is an arithmetic number, because the mean of its divisors is an integer number (163382167872).

Almost surely, 2^{13022247800100} is an apocalyptic number.

13022247800100 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 13022247800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23527032173568).

13022247800100 is an abundant number, since it is smaller than the sum of its proper divisors (34031816547036).

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

13022247800100 is a wasteful number, since it uses less digits than its factorization.

13022247800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951275 (or 951268 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 13022247800100 in words is "thirteen trillion, twenty-two billion, two hundred forty-seven million, eight hundred thousand, one hundred".