103101314000 has 80 divisors (see below), whose sum is σ = 256036971216. Its totient is φ = 40125888000.

The previous prime is 103101313979. The next prime is 103101314003. The reversal of 103101314000 is 413101301.

It can be written as a sum of positive squares in 8 ways, for example, as 48122319424 + 54978994576 = 219368^2 + 234476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103101314003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622631 + ... + 770630.

Almost surely, 2^103101314000 is an apocalyptic number.

103101314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103101314000 is an abundant number, since it is smaller than the sum of its proper divisors (152935657216).

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

103101314000 is a wasteful number, since it uses less digits than its factorization.

103101314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393321 (or 1393305 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103101314000 its reverse (413101301), we get a palindrome (103514415301).

The spelling of 103101314000 in words is "one hundred three billion, one hundred one million, three hundred fourteen thousand".