101301300000000 has 1296 divisors, whose sum is σ = 396663546908160. Its totient is φ = 25413120000000.

The previous prime is 101301299999971. The next prime is 101301300000023. The reversal of 101301300000000 is 3103101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45899998897 + ... + 45900001103.

Almost surely, 2^{101301300000000} is an apocalyptic number.

101301300000000 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 101301300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198331773454080).

101301300000000 is an abundant number, since it is smaller than the sum of its proper divisors (295362246908160).

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

101301300000000 is an frugal number, since it uses more digits than its factorization.

101301300000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2234 counting only the distinct ones).

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

Adding to 101301300000000 its reverse (3103101), we get a palindrome (101301303103101).

The spelling of 101301300000000 in words is "one hundred one trillion, three hundred one billion, three hundred million", and thus it is an aban number.