101317311375 has 128 divisors (see below), whose sum is σ = 197086556160. Its totient is φ = 45268070400.

The previous prime is 101317311367. The next prime is 101317311401. The reversal of 101317311375 is 573113713101.

It is not a de Polignac number, because 101317311375 - 2³ = 101317311367 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21651286 + ... + 21655964.

It is an arithmetic number, because the mean of its divisors is an integer number (1539738720).

Almost surely, 2^101317311375 is an apocalyptic number.

101317311375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101317311375 is a deficient number, since it is larger than the sum of its proper divisors (95769244785).

101317311375 is a wasteful number, since it uses less digits than its factorization.

101317311375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 6615, while the sum is 33.

The spelling of 101317311375 in words is "one hundred one billion, three hundred seventeen million, three hundred eleven thousand, three hundred seventy-five".