103111011202320 has 240 divisors, whose sum is σ = 377823143378304. Its totient is φ = 24992513280000.

The previous prime is 103111011202231. The next prime is 103111011202327. The reversal of 103111011202320 is 23202110111301.

103111011202320 is a `hidden beast` number, since 1 + 0 + 31 + 110 + 1 + 1 + 202 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103111011202293 and 103111011202302.

It is not an unprimeable number, because it can be changed into a prime (103111011202327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47414845 + ... + 49541795.

Almost surely, 2^{103111011202320} is an apocalyptic number.

103111011202320 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 103111011202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188911571689152).

103111011202320 is an abundant number, since it is smaller than the sum of its proper divisors (274712132175984).

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

103111011202320 is a wasteful number, since it uses less digits than its factorization.

103111011202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133102 (or 2133093 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103111011202320 its reverse (23202110111301), we get a palindrome (126313121313621).

The spelling of 103111011202320 in words is "one hundred three trillion, one hundred eleven billion, eleven million, two hundred two thousand, three hundred twenty".