103333023113130 has 320 divisors, whose sum is σ = 287359574261760. Its totient is φ = 26615920636800.

The previous prime is 103333023113059. The next prime is 103333023113189. The reversal of 103333023113130 is 31311320333301.

103333023113130 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 3 + 30 + 2 + 311 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103333023113094 and 103333023113103.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55228766095 + ... + 55228767965.

It is an arithmetic number, because the mean of its divisors is an integer number (897998669568).

Almost surely, 2^{103333023113130} is an apocalyptic number.

103333023113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103333023113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143679787130880).

103333023113130 is an abundant number, since it is smaller than the sum of its proper divisors (184026551148630).

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

103333023113130 is a wasteful number, since it uses less digits than its factorization.

103333023113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 103333023113130 its reverse (31311320333301), we get a palindrome (134644343446431).

The spelling of 103333023113130 in words is "one hundred three trillion, three hundred thirty-three billion, twenty-three million, one hundred thirteen thousand, one hundred thirty".