103113131100 has 288 divisors, whose sum is σ = 380020677120. Its totient is φ = 21014691840.

The previous prime is 103113131089. The next prime is 103113131159. The reversal of 103113131100 is 1131311301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103113131100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 602292 + ... + 754308.

It is an arithmetic number, because the mean of its divisors is an integer number (1319516240).

Almost surely, 2^103113131100 is an apocalyptic number.

103113131100 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 103113131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190010338560).

103113131100 is an abundant number, since it is smaller than the sum of its proper divisors (276907546020).

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

103113131100 is a wasteful number, since it uses less digits than its factorization.

103113131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152077 (or 152070 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 103113131100 its reverse (1131311301), we get a palindrome (104244442401).

The spelling of 103113131100 in words is "one hundred three billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred".