13300203142100 has 72 divisors (see below), whose sum is σ = 33543563282880. Its totient is φ = 4482780318720.

The previous prime is 13300203142097. The next prime is 13300203142103. The reversal of 13300203142100 is 124130200331.

It is an interprime number because it is at equal distance from previous prime (13300203142097) and next prime (13300203142103).

It is a super-2 number, since 2×13300203142100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300203142103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160978109 + ... + 161060708.

Almost surely, 2^{13300203142100} is an apocalyptic number.

13300203142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300203142100 is an abundant number, since it is smaller than the sum of its proper divisors (20243360140780).

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

13300203142100 is a wasteful number, since it uses less digits than its factorization.

13300203142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322038897 (or 322038890 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13300203142100 its reverse (124130200331), we get a palindrome (13424333342431).

The spelling of 13300203142100 in words is "thirteen trillion, three hundred billion, two hundred three million, one hundred forty-two thousand, one hundred".