100010011341300 has 144 divisors (see below), whose sum is σ = 296489670321600. Its totient is φ = 26012741964800.

The previous prime is 100010011341293. The next prime is 100010011341307. The reversal of 100010011341300 is 3143110010001.

It is an interprime number because it is at equal distance from previous prime (100010011341293) and next prime (100010011341307).

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 100010011341300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010011341307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51431146 + ... + 53340254.

It is an arithmetic number, because the mean of its divisors is an integer number (2058956043900).

Almost surely, 2^{100010011341300} is an apocalyptic number.

100010011341300 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 100010011341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148244835160800).

100010011341300 is an abundant number, since it is smaller than the sum of its proper divisors (196479658980300).

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

100010011341300 is a wasteful number, since it uses less digits than its factorization.

100010011341300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913426 (or 1913419 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100010011341300 its reverse (3143110010001), we get a palindrome (103153121351301).

The spelling of 100010011341300 in words is "one hundred trillion, ten billion, eleven million, three hundred forty-one thousand, three hundred".