101312160768 has 528 divisors, whose sum is σ = 363731921280. Its totient is φ = 26446528512.

The previous prime is 101312160757. The next prime is 101312160839. The reversal of 101312160768 is 867061213101.

101312160768 is a `hidden beast` number, since 10 + 1 + 31 + 2 + 1 + 607 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89735628 + ... + 89736756.

Almost surely, 2^101312160768 is an apocalyptic number.

101312160768 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 101312160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181865960640).

101312160768 is an abundant number, since it is smaller than the sum of its proper divisors (262419760512).

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

101312160768 is a wasteful number, since it uses less digits than its factorization.

101312160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 101312160768 its reverse (867061213101), we get a palindrome (968373373869).

The spelling of 101312160768 in words is "one hundred one billion, three hundred twelve million, one hundred sixty thousand, seven hundred sixty-eight".