101311000 has 128 divisors (see below), whose sum is σ = 278328960. Its totient is φ = 33792000.

The previous prime is 101310997. The next prime is 101311003. The reversal of 101311000 is 113101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101310997) and next prime (101311003).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286824 + ... + 287176.

It is an arithmetic number, because the mean of its divisors is an integer number (2174445).

Almost surely, 2^101311000 is an apocalyptic number.

101311000 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 101311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139164480).

101311000 is an abundant number, since it is smaller than the sum of its proper divisors (177017960).

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

101311000 is a wasteful number, since it uses less digits than its factorization.

101311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 101311000 is about 10065.3365567178. The cubic root of 101311000 is about 466.1784576863.

Adding to 101311000 its reverse (113101), we get a palindrome (101424101).

The spelling of 101311000 in words is "one hundred one million, three hundred eleven thousand".