100001311013200 has 240 divisors, whose sum is σ = 262341008565120. Its totient is φ = 36488187904000.

The previous prime is 100001311013179. The next prime is 100001311013221. The reversal of 100001311013200 is 2310113100001.

It is an interprime number because it is at equal distance from previous prime (100001311013179) and next prime (100001311013221).

It is a super-2 number, since 2×100001311013200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26729880 + ... + 30240520.

It is an arithmetic number, because the mean of its divisors is an integer number (1093087535688).

Almost surely, 2^{100001311013200} is an apocalyptic number.

100001311013200 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 100001311013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131170504282560).

100001311013200 is an abundant number, since it is smaller than the sum of its proper divisors (162339697551920).

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

100001311013200 is a wasteful number, since it uses less digits than its factorization.

100001311013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510806 (or 3510795 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100001311013200 its reverse (2310113100001), we get a palindrome (102311424113201).

The spelling of 100001311013200 in words is "one hundred trillion, one billion, three hundred eleven million, thirteen thousand, two hundred".