103001301312 has 448 divisors, whose sum is σ = 343751976960. Its totient is φ = 26497622016.

The previous prime is 103001301311. The next prime is 103001301323. The reversal of 103001301312 is 213103100301.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 103001301291 and 103001301300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001301311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168027918 + ... + 168028530.

It is an arithmetic number, because the mean of its divisors is an integer number (767303520).

Almost surely, 2^103001301312 is an apocalyptic number.

103001301312 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 103001301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171875988480).

103001301312 is an abundant number, since it is smaller than the sum of its proper divisors (240750675648).

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

103001301312 is a wasteful number, since it uses less digits than its factorization.

103001301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103001301312 its reverse (213103100301), we get a palindrome (316104401613).

The spelling of 103001301312 in words is "one hundred three billion, one million, three hundred one thousand, three hundred twelve".