103001030000 has 200 divisors, whose sum is σ = 274717762176. Its totient is φ = 37087200000.

The previous prime is 103001029993. The next prime is 103001030003. The reversal of 103001030000 is 30100301.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 103001030000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001030003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11325455 + ... + 11334545.

Almost surely, 2^103001030000 is an apocalyptic number.

103001030000 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 103001030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137358881088).

103001030000 is an abundant number, since it is smaller than the sum of its proper divisors (171716732176).

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

103001030000 is a wasteful number, since it uses less digits than its factorization.

103001030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233 (or 9212 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 103001030000 its reverse (30100301), we get a palindrome (103031130301).

It can be divided in two parts, 10300 and 1030000, that multiplied together give a square (10609000000 = 103000²).

The spelling of 103001030000 in words is "one hundred three billion, one million, thirty thousand".