13100101300 has 288 divisors, whose sum is σ = 34478043264. Its totient is φ = 4293273600.

The previous prime is 13100101297. The next prime is 13100101309. The reversal of 13100101300 is 310100131.

It is a super-2 number, since 2×13100101300² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100101309) 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, 115930044 + ... + 115930156.

It is an arithmetic number, because the mean of its divisors is an integer number (119715428).

Almost surely, 2^13100101300 is an apocalyptic number.

13100101300 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 13100101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17239021632).

13100101300 is an abundant number, since it is smaller than the sum of its proper divisors (21377941964).

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

13100101300 is a wasteful number, since it uses less digits than its factorization.

13100101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 13100101300 its reverse (310100131), we get a palindrome (13410201431).

The spelling of 13100101300 in words is "thirteen billion, one hundred million, one hundred one thousand, three hundred".