101131030 has 64 divisors (see below), whose sum is σ = 244435968. Its totient is φ = 29093760.

The previous prime is 101131013. The next prime is 101131031. The reversal of 101131030 is 30131101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101130998 and 101131016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4959 + ... + 15061.

It is an arithmetic number, because the mean of its divisors is an integer number (3819312).

Almost surely, 2^101131030 is an apocalyptic number.

101131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101131030 is an abundant number, since it is smaller than the sum of its proper divisors (143304938).

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

101131030 is a wasteful number, since it uses less digits than its factorization.

101131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 101131030 is about 10056.3924943292. The cubic root of 101131030 is about 465.9022525184.

Adding to 101131030 its reverse (30131101), we get a palindrome (131262131).

It can be divided in two parts, 1011 and 31030, that added together give a square (32041 = 179²).

The spelling of 101131030 in words is "one hundred one million, one hundred thirty-one thousand, thirty".