101300310000 has 150 divisors (see below), whose sum is σ = 354262131080. Its totient is φ = 27013392000.

The previous prime is 101300309951. The next prime is 101300310017. The reversal of 101300310000 is 13003101.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×101300310000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 472780 + ... + 652779.

Almost surely, 2^101300310000 is an apocalyptic number.

101300310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101300310000 is an abundant number, since it is smaller than the sum of its proper divisors (252961821080).

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

101300310000 is a wasteful number, since it uses less digits than its factorization.

101300310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125593 (or 1125569 counting only the distinct ones).

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

Adding to 101300310000 its reverse (13003101), we get a palindrome (101313313101).

The spelling of 101300310000 in words is "one hundred one billion, three hundred million, three hundred ten thousand".