101317311376 has 20 divisors (see below), whose sum is σ = 201090152844. Its totient is φ = 49423078400.

The previous prime is 101317311367. The next prime is 101317311401. The reversal of 101317311376 is 673113713101.

101317311376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2296326400 + 99020984976 = 47920^2 + 314676^2 .

It is a super-2 number, since 2×101317311376² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77222905 + ... + 77224216.

Almost surely, 2^101317311376 is an apocalyptic number.

101317311376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101317311376 is a deficient number, since it is larger than the sum of its proper divisors (99772841468).

101317311376 is a wasteful number, since it uses less digits than its factorization.

101317311376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154447170 (or 154447164 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The spelling of 101317311376 in words is "one hundred one billion, three hundred seventeen million, three hundred eleven thousand, three hundred seventy-six".