103114134312 has 192 divisors, whose sum is σ = 306122613120. Its totient is φ = 28849347072.

The previous prime is 103114134311. The next prime is 103114134317. The reversal of 103114134312 is 213431411301.

It is a happy number.

103114134312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (103114134311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40324938 + ... + 40327494.

It is an arithmetic number, because the mean of its divisors is an integer number (1594388610).

Almost surely, 2^103114134312 is an apocalyptic number.

103114134312 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 103114134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153061306560).

103114134312 is an abundant number, since it is smaller than the sum of its proper divisors (203008478808).

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

103114134312 is a wasteful number, since it uses less digits than its factorization.

103114134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 103114134312 its reverse (213431411301), we get a palindrome (316545545613).

The spelling of 103114134312 in words is "one hundred three billion, one hundred fourteen million, one hundred thirty-four thousand, three hundred twelve".