101520330013008 has 180 divisors, whose sum is σ = 295832473892800. Its totient is φ = 33747889813056.

The previous prime is 101520330012989. The next prime is 101520330013097. The reversal of 101520330013008 is 800310033025101.

101520330013008 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 20 + 330 + 0 + 1 + 300 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 37208643 + ... + 39843741.

Almost surely, 2^{101520330013008} is an apocalyptic number.

101520330013008 is a gapful number since it is divisible by the number (18) 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 101520330013008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147916236946400).

101520330013008 is an abundant number, since it is smaller than the sum of its proper divisors (194312143879792).

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

101520330013008 is an frugal number, since it uses more digits than its factorization.

101520330013008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635498 (or 2635471 counting only the distinct ones).

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

Adding to 101520330013008 its reverse (800310033025101), we get a palindrome (901830363038109).

The spelling of 101520330013008 in words is "one hundred one trillion, five hundred twenty billion, three hundred thirty million, thirteen thousand, eight".