101315000 has 80 divisors (see below), whose sum is σ = 247983120. Its totient is φ = 38720000.

The previous prime is 101314979. The next prime is 101315003. The reversal of 101315000 is 513101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101315003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 114560 + ... + 115440.

It is an arithmetic number, because the mean of its divisors is an integer number (3099789).

Almost surely, 2^101315000 is an apocalyptic number.

101315000 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 101315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123991560).

101315000 is an abundant number, since it is smaller than the sum of its proper divisors (146668120).

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

101315000 is an equidigital number, since it uses as much as digits as its factorization.

101315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 101315000 is about 10065.5352565077. The cubic root of 101315000 is about 466.1845928849.

Adding to 101315000 its reverse (513101), we get a palindrome (101828101).

The spelling of 101315000 in words is "one hundred one million, three hundred fifteen thousand".