103313201023120 has 40 divisors (see below), whose sum is σ = 262039846233600. Its totient is φ = 37568436735360.

The previous prime is 103313201023007. The next prime is 103313201023121. The reversal of 103313201023120 is 21320102313301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103313201023091 and 103313201023100.

It is not an unprimeable number, because it can be changed into a prime (103313201023121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58700681520 + ... + 58700683279.

It is an arithmetic number, because the mean of its divisors is an integer number (6550996155840).

Almost surely, 2^{103313201023120} is an apocalyptic number.

103313201023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313201023120 is an abundant number, since it is smaller than the sum of its proper divisors (158726645210480).

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

103313201023120 is a wasteful number, since it uses less digits than its factorization.

103313201023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117401364823 (or 117401364817 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103313201023120 its reverse (21320102313301), we get a palindrome (124633303336421).

The spelling of 103313201023120 in words is "one hundred three trillion, three hundred thirteen billion, two hundred one million, twenty-three thousand, one hundred twenty".