101317478400 has 288 divisors, whose sum is σ = 372162117600. Its totient is φ = 27017625600.

The previous prime is 101317478393. The next prime is 101317478491. The reversal of 101317478400 is 4874713101.

101317478400 is a `hidden beast` number, since 1 + 0 + 13 + 174 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 1345755 + ... + 1419045.

It is an arithmetic number, because the mean of its divisors is an integer number (1292229575).

Almost surely, 2^101317478400 is an apocalyptic number.

101317478400 is a gapful number since it is divisible by the number (10) 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 101317478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186081058800).

101317478400 is an abundant number, since it is smaller than the sum of its proper divisors (270844639200).

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

101317478400 is an equidigital number, since it uses as much as digits as its factorization.

101317478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73332 (or 73301 counting only the distinct ones).

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

The spelling of 101317478400 in words is "one hundred one billion, three hundred seventeen million, four hundred seventy-eight thousand, four hundred".