101301311000 has 64 divisors (see below), whose sum is σ = 238169000160. Its totient is φ = 40328400000.

The previous prime is 101301310997. The next prime is 101301311011. The reversal of 101301311000 is 113103101.

It is a happy number.

It is a super-2 number, since 2×101301311000² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 29051 + ... + 451050.

Almost surely, 2^101301311000 is an apocalyptic number.

101301311000 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 101301311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119084500080).

101301311000 is an abundant number, since it is smaller than the sum of its proper divisors (136867689160).

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

101301311000 is a wasteful number, since it uses less digits than its factorization.

101301311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480333 (or 480319 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 101301311000 its reverse (113103101), we get a palindrome (101414414101).

The spelling of 101301311000 in words is "one hundred one billion, three hundred one million, three hundred eleven thousand".