101131000 has 64 divisors (see below), whose sum is σ = 246991680. Its totient is φ = 38684800.

The previous prime is 101130983. The next prime is 101131003. The reversal of 101131000 is 131101.

It is a happy number.

It is a super-2 number, since 2×101131000² = 20454958322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20802 + ... + 25198.

It is an arithmetic number, because the mean of its divisors is an integer number (3859245).

Almost surely, 2^101131000 is an apocalyptic number.

101131000 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 101131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123495840).

101131000 is an abundant number, since it is smaller than the sum of its proper divisors (145860680).

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

101131000 is a wasteful number, since it uses less digits than its factorization.

101131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4427 counting only the distinct ones).

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

The square root of 101131000 is about 10056.3910027405. The cubic root of 101131000 is about 465.9022064492.

Adding to 101131000 its reverse (131101), we get a palindrome (101262101).

The spelling of 101131000 in words is "one hundred one million, one hundred thirty-one thousand".