101312000 has 80 divisors (see below), whose sum is σ = 252787392. Its totient is φ = 40499200.

The previous prime is 101311997. The next prime is 101312023. The reversal of 101312000 is 213101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63209 + ... + 64791.

Almost surely, 2^101312000 is an apocalyptic number.

101312000 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 101312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393696).

101312000 is an abundant number, since it is smaller than the sum of its proper divisors (151475392).

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

101312000 is an frugal number, since it uses more digits than its factorization.

101312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101312000 is about 10065.3862320330. The cubic root of 101312000 is about 466.1799915011.

Adding to 101312000 its reverse (213101), we get a palindrome (101525101).

The spelling of 101312000 in words is "one hundred one million, three hundred twelve thousand".