101013030300 has 288 divisors, whose sum is σ = 369435576832. Its totient is φ = 20736414720.

The previous prime is 101013030221. The next prime is 101013030311. The reversal of 101013030300 is 3030310101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 960099 + ... + 1060101.

Almost surely, 2^101013030300 is an apocalyptic number.

101013030300 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 101013030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184717788416).

101013030300 is an abundant number, since it is smaller than the sum of its proper divisors (268422546532).

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

101013030300 is a wasteful number, since it uses less digits than its factorization.

101013030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100077 (or 100070 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 101013030300 its reverse (3030310101), we get a palindrome (104043340401).

The spelling of 101013030300 in words is "one hundred one billion, thirteen million, thirty thousand, three hundred".