101131310 has 64 divisors (see below), whose sum is σ = 216483840. Its totient is φ = 33296640.

The previous prime is 101131309. The next prime is 101131321. The reversal of 101131310 is 13131101.

It is a happy number.

It is a super-2 number, since 2×101131310² = 20455083724632200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101131291 and 101131300.

It is a congruent number.

It is an unprimeable number.

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, 193850 + ... + 194370.

It is an arithmetic number, because the mean of its divisors is an integer number (3382560).

Almost surely, 2^101131310 is an apocalyptic number.

101131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101131310 is an abundant number, since it is smaller than the sum of its proper divisors (115352530).

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

101131310 is a wasteful number, since it uses less digits than its factorization.

101131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 101131310 is about 10056.4064158128. The cubic root of 101131310 is about 465.9026824969.

Adding to 101131310 its reverse (13131101), we get a palindrome (114262411).

The spelling of 101131310 in words is "one hundred one million, one hundred thirty-one thousand, three hundred ten".