101300000000000 has 288 divisors, whose sum is σ = 253438109313480. Its totient is φ = 40480000000000.

The previous prime is 101299999999943. The next prime is 101300000000029. The reversal of 101300000000000 is 3101.

It can be written as a sum of positive squares in 12 ways, for example, as 12941804790784 + 88358195209216 = 3597472^2 + 9399904^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99999999494 + ... + 100000000506.

Almost surely, 2^{101300000000000} is an apocalyptic number.

101300000000000 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 101300000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126719054656740).

101300000000000 is an abundant number, since it is smaller than the sum of its proper divisors (152138109313480).

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

101300000000000 is an frugal number, since it uses more digits than its factorization.

101300000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 101300000000000 its reverse (3101), we get a palindrome (101300000003101).

The spelling of 101300000000000 in words is "one hundred one trillion, three hundred billion", and thus it is an aban number.