10117001300 has 72 divisors (see below), whose sum is σ = 25673731776. Its totient is φ = 3388008960.

The previous prime is 10117001299. The next prime is 10117001327. The reversal of 10117001300 is 310071101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137957 + ... + 198156.

It is an arithmetic number, because the mean of its divisors is an integer number (356579608).

Almost surely, 2^10117001300 is an apocalyptic number.

10117001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10117001300 is an abundant number, since it is smaller than the sum of its proper divisors (15556730476).

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

10117001300 is a wasteful number, since it uses less digits than its factorization.

10117001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336177 (or 336170 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 14.

Adding to 10117001300 its reverse (310071101), we get a palindrome (10427072401).

The spelling of 10117001300 in words is "ten billion, one hundred seventeen million, one thousand, three hundred".