101713480704 has 880 divisors, whose sum is σ = 357810621696. Its totient is φ = 28466380800.

The previous prime is 101713480703. The next prime is 101713480711. The reversal of 101713480704 is 407084317101.

101713480704 is a `hidden beast` number, since 1 + 0 + 171 + 3 + 480 + 7 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101713480703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 776438719 + ... + 776438849.

Almost surely, 2^101713480704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101713480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178905310848).

101713480704 is an abundant number, since it is smaller than the sum of its proper divisors (256097140992).

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

101713480704 is a wasteful number, since it uses less digits than its factorization.

101713480704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 101713480704 its reverse (407084317101), we get a palindrome (508797797805).

The spelling of 101713480704 in words is "one hundred one billion, seven hundred thirteen million, four hundred eighty thousand, seven hundred four".