101531716398 has 48 divisors (see below), whose sum is σ = 259521939456. Its totient is φ = 28073284560.

The previous prime is 101531716339. The next prime is 101531716477. The reversal of 101531716398 is 893617135101.

101531716398 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 3 + 1 + 7 + 1 + 639 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12992986 + ... + 13000797.

It is an arithmetic number, because the mean of its divisors is an integer number (5406707072).

Almost surely, 2^101531716398 is an apocalyptic number.

101531716398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101531716398 is an abundant number, since it is smaller than the sum of its proper divisors (157990223058).

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

101531716398 is a wasteful number, since it uses less digits than its factorization.

101531716398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25993829 (or 25993826 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 101531716398 in words is "one hundred one billion, five hundred thirty-one million, seven hundred sixteen thousand, three hundred ninety-eight".