101313000 has 96 divisors (see below), whose sum is σ = 342468360. Its totient is φ = 27014400.

The previous prime is 101312987. The next prime is 101313011. The reversal of 101313000 is 313101.

It can be written as a sum of positive squares in 4 ways, for example, as 48692484 + 52620516 = 6978^2 + 7254^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3372 + ... + 14628.

Almost surely, 2^101313000 is an apocalyptic number.

101313000 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 101313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171234180).

101313000 is an abundant number, since it is smaller than the sum of its proper divisors (241155360).

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

101313000 is a wasteful number, since it uses less digits than its factorization.

101313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11267 counting only the distinct ones).

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

The square root of 101313000 is about 10065.4359071031. The cubic root of 101313000 is about 466.1815253058.

Adding to 101313000 its reverse (313101), we get a palindrome (101626101).

It can be divided in two parts, 10131 and 3000, that added together give a palindrome (13131).

The spelling of 101313000 in words is "one hundred one million, three hundred thirteen thousand".