100103313310 has 576 divisors, whose sum is σ = 269037490176. Its totient is φ = 26032849920.

The previous prime is 100103313257. The next prime is 100103313329. The reversal of 100103313310 is 13313301001.

It is a super-2 number, since 2×100103313310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2129857707 + ... + 2129857753.

It is an arithmetic number, because the mean of its divisors is an integer number (467078976).

Almost surely, 2^100103313310 is an apocalyptic number.

100103313310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100103313310 is an abundant number, since it is smaller than the sum of its proper divisors (168934176866).

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

100103313310 is a wasteful number, since it uses less digits than its factorization.

100103313310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100103313310 its reverse (13313301001), we get a palindrome (113416614311).

The spelling of 100103313310 in words is "one hundred billion, one hundred three million, three hundred thirteen thousand, three hundred ten".