103130003311120 has 120 divisors (see below), whose sum is σ = 250811570079000. Its totient is φ = 39433886435328.

The previous prime is 103130003311091. The next prime is 103130003311151. The reversal of 103130003311120 is 21113300031301.

It can be written as a sum of positive squares in 4 ways, for example, as 66888254818576 + 36241748492544 = 8178524^2 + 6020112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67335606 + ... + 68850154.

It is an arithmetic number, because the mean of its divisors is an integer number (2090096417325).

Almost surely, 2^{103130003311120} is an apocalyptic number.

103130003311120 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 103130003311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125405785039500).

103130003311120 is an abundant number, since it is smaller than the sum of its proper divisors (147681566767880).

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

103130003311120 is a wasteful number, since it uses less digits than its factorization.

103130003311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516217 (or 1516188 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 103130003311120 its reverse (21113300031301), we get a palindrome (124243303342421).

The spelling of 103130003311120 in words is "one hundred three trillion, one hundred thirty billion, three million, three hundred eleven thousand, one hundred twenty".