103111330313120 has 144 divisors (see below), whose sum is σ = 259137933740280. Its totient is φ = 38763619958784.

The previous prime is 103111330313119. The next prime is 103111330313153. The reversal of 103111330313120 is 21313033111301.

It can be written as a sum of positive squares in 12 ways, for example, as 40404380325136 + 62706949987984 = 6356444^2 + 7918772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31211582 + ... + 34356738.

Almost surely, 2^{103111330313120} is an apocalyptic number.

103111330313120 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 103111330313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129568966870140).

103111330313120 is an abundant number, since it is smaller than the sum of its proper divisors (156026603427160).

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

103111330313120 is a wasteful number, since it uses less digits than its factorization.

103111330313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145915 (or 3145890 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 103111330313120 its reverse (21313033111301), we get a palindrome (124424363424421).

The spelling of 103111330313120 in words is "one hundred three trillion, one hundred eleven billion, three hundred thirty million, three hundred thirteen thousand, one hundred twenty".