101330113000 has 32 divisors (see below), whose sum is σ = 237112466760. Its totient is φ = 40532044800.

The previous prime is 101330112991. The next prime is 101330113009. The reversal of 101330113000 is 311033101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101330112991) and next prime (101330113009).

It can be written as a sum of positive squares in 4 ways, for example, as 9883143396 + 91446969604 = 99414^2 + 302402^2 .

It is not an unprimeable number, because it can be changed into a prime (101330113009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50664057 + ... + 50666056.

Almost surely, 2^101330113000 is an apocalyptic number.

101330113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101330113000 is an abundant number, since it is smaller than the sum of its proper divisors (135782353760).

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

101330113000 is a wasteful number, since it uses less digits than its factorization.

101330113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101330134 (or 101330120 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101330113000 its reverse (311033101), we get a palindrome (101641146101).

The spelling of 101330113000 in words is "one hundred one billion, three hundred thirty million, one hundred thirteen thousand".