113103121320 has 384 divisors, whose sum is σ = 429874099200. Its totient is φ = 25257443328.

The previous prime is 113103121279. The next prime is 113103121361. The reversal of 113103121320 is 23121301311.

113103121320 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 312 + 1 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (113103121279) and next prime (113103121361).

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 = 113103121293 and 113103121302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19307832 + ... + 19313688.

It is an arithmetic number, because the mean of its divisors is an integer number (1119463800).

Almost surely, 2^113103121320 is an apocalyptic number.

113103121320 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 113103121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214937049600).

113103121320 is an abundant number, since it is smaller than the sum of its proper divisors (316770977880).

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

113103121320 is a wasteful number, since it uses less digits than its factorization.

113103121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113103121320 its reverse (23121301311), we get a palindrome (136224422631).

The spelling of 113103121320 in words is "one hundred thirteen billion, one hundred three million, one hundred twenty-one thousand, three hundred twenty".