101321350130000 has 800 divisors, whose sum is σ = 332092095912192. Its totient is φ = 29151048960000.

The previous prime is 101321350129939. The next prime is 101321350130071. The reversal of 101321350130000 is 31053123101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1211168174 + ... + 1211251826.

Almost surely, 2^{101321350130000} is an apocalyptic number.

101321350130000 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 101321350130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166046047956096).

101321350130000 is an abundant number, since it is smaller than the sum of its proper divisors (230770745782192).

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

101321350130000 is an equidigital number, since it uses as much as digits as its factorization.

101321350130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83734 (or 83691 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The spelling of 101321350130000 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred fifty million, one hundred thirty thousand".