103040313012 has 144 divisors (see below), whose sum is σ = 321318047232. Its totient is φ = 27112043520.

The previous prime is 103040312971. The next prime is 103040313023. The reversal of 103040313012 is 210313040301.

103040313012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103040313012³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1375468 + ... + 1448444.

It is an arithmetic number, because the mean of its divisors is an integer number (2231375328).

Almost surely, 2^103040313012 is an apocalyptic number.

103040313012 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 103040313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160659023616).

103040313012 is an abundant number, since it is smaller than the sum of its proper divisors (218277734220).

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

103040313012 is a wasteful number, since it uses less digits than its factorization.

103040313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73438 (or 73433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103040313012 its reverse (210313040301), we get a palindrome (313353353313).

The spelling of 103040313012 in words is "one hundred three billion, forty million, three hundred thirteen thousand, twelve".