103301010000000 has 1536 divisors, whose sum is σ = 397736825541120. Its totient is φ = 25643520000000.

The previous prime is 103301009999969. The next prime is 103301010000031. The reversal of 103301010000000 is 10103301.

It is an interprime number because it is at equal distance from previous prime (103301009999969) and next prime (103301010000031).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163709999685 + ... + 163710000315.

It is an arithmetic number, because the mean of its divisors is an integer number (258943245795).

Almost surely, 2^{103301010000000} is an apocalyptic number.

103301010000000 is a gapful number since it is divisible by the number (10) 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 103301010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198868412770560).

103301010000000 is an abundant number, since it is smaller than the sum of its proper divisors (294435815541120).

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

103301010000000 is an frugal number, since it uses more digits than its factorization.

103301010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 103301010000000 its reverse (10103301), we get a palindrome (103301020103301).

The spelling of 103301010000000 in words is "one hundred three trillion, three hundred one billion, ten million", and thus it is an aban number.