101001031300 has 72 divisors (see below), whose sum is σ = 236090890952. Its totient is φ = 37283328000.

The previous prime is 101001031289. The next prime is 101001031319. The reversal of 101001031300 is 3130100101.

It can be written as a sum of positive squares in 12 ways, for example, as 49750410304 + 51250620996 = 223048^2 + 226386^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7248340 + ... + 7262260.

Almost surely, 2^101001031300 is an apocalyptic number.

101001031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001031300 is an abundant number, since it is smaller than the sum of its proper divisors (135089859652).

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

101001031300 is a wasteful number, since it uses less digits than its factorization.

101001031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19529 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 101001031300 its reverse (3130100101), we get a palindrome (104131131401).

The spelling of 101001031300 in words is "one hundred one billion, one million, thirty-one thousand, three hundred".