103314314120 has 128 divisors (see below), whose sum is σ = 257437353600. Its totient is φ = 37163059200.

The previous prime is 103314314119. The next prime is 103314314143. The reversal of 103314314120 is 21413413301.

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 31 ways as a sum of consecutive naturals, for example, 1108115 + ... + 1197725.

It is an arithmetic number, because the mean of its divisors is an integer number (2011229325).

Almost surely, 2^103314314120 is an apocalyptic number.

103314314120 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 103314314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128718676800).

103314314120 is an abundant number, since it is smaller than the sum of its proper divisors (154123039480).

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

103314314120 is a wasteful number, since it uses less digits than its factorization.

103314314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89719 (or 89715 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 103314314120 its reverse (21413413301), we get a palindrome (124727727421).

The spelling of 103314314120 in words is "one hundred three billion, three hundred fourteen million, three hundred fourteen thousand, one hundred twenty".