103301118312 has 384 divisors, whose sum is σ = 321742108800. Its totient is φ = 27509594112.

The previous prime is 103301118293. The next prime is 103301118317. The reversal of 103301118312 is 213811103301.

It is a happy number.

It is a super-2 number, since 2×103301118312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103301118317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121102878 + ... + 121103730.

It is an arithmetic number, because the mean of its divisors is an integer number (837870075).

Almost surely, 2^103301118312 is an apocalyptic number.

103301118312 is a gapful number since it is divisible by the number (12) 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 103301118312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160871054400).

103301118312 is an abundant number, since it is smaller than the sum of its proper divisors (218440990488).

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

103301118312 is a wasteful number, since it uses less digits than its factorization.

103301118312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 103301118312 in words is "one hundred three billion, three hundred one million, one hundred eighteen thousand, three hundred twelve".