101000031300 has 288 divisors, whose sum is σ = 383879596800. Its totient is φ = 22289541120.

The previous prime is 101000031289. The next prime is 101000031361. The reversal of 101000031300 is 3130000101.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 455964 + ... + 640236.

Almost surely, 2^101000031300 is an apocalyptic number.

101000031300 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 101000031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191939798400).

101000031300 is an abundant number, since it is smaller than the sum of its proper divisors (282879565500).

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

101000031300 is a wasteful number, since it uses less digits than its factorization.

101000031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184332 (or 184319 counting only the distinct ones).

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

Adding to 101000031300 its reverse (3130000101), we get a palindrome (104130031401).

The spelling of 101000031300 in words is "one hundred one billion, thirty-one thousand, three hundred".