101563308000000 has 6048 divisors, whose sum is σ = 502204371701760. Its totient is φ = 19844352000000.

The previous prime is 101563307999971. The next prime is 101563308000073. The reversal of 101563308000000 is 803365101.

101563308000000 is a `hidden beast` number, since 10 + 15 + 633 + 0 + 8 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1721411999971 + ... + 1721412000029.

It is an arithmetic number, because the mean of its divisors is an integer number (83036437120).

Almost surely, 2^{101563308000000} is an apocalyptic number.

101563308000000 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 101563308000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251102185850880).

101563308000000 is an abundant number, since it is smaller than the sum of its proper divisors (400641063701760).

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

101563308000000 is an frugal number, since it uses more digits than its factorization.

101563308000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 101563308000000 in words is "one hundred one trillion, five hundred sixty-three billion, three hundred eight million", and thus it is an aban number.