101301000 has 64 divisors (see below), whose sum is σ = 316068480. Its totient is φ = 27012800.

The previous prime is 101300981. The next prime is 101301001. The reversal of 101301000 is 103101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 101301000.

It is not an unprimeable number, because it can be changed into a prime (101301001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13884 + ... + 19883.

It is an arithmetic number, because the mean of its divisors is an integer number (4938570).

Almost surely, 2^101301000 is an apocalyptic number.

101301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101301000 is an abundant number, since it is smaller than the sum of its proper divisors (214767480).

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

101301000 is a wasteful number, since it uses less digits than its factorization.

101301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33791 (or 33777 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 101301000 is about 10064.8397900811. The cubic root of 101301000 is about 466.1631189835.

Adding to 101301000 its reverse (103101), we get a palindrome (101404101).

The spelling of 101301000 in words is "one hundred one million, three hundred one thousand".