101313303120 has 100 divisors (see below), whose sum is σ = 351876133620. Its totient is φ = 27016879104.

The previous prime is 101313303079. The next prime is 101313303127. The reversal of 101313303120 is 21303313101.

It is a happy number.

101313303120 is a `hidden beast` number, since 10 + 1 + 313 + 30 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72550499904 + 28762803216 = 269352^2 + 169596^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101313303093 and 101313303102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313303127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7810905 + ... + 7823864.

Almost surely, 2^101313303120 is an apocalyptic number.

101313303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313303120 is an abundant number, since it is smaller than the sum of its proper divisors (250562830500).

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

101313303120 is a wasteful number, since it uses less digits than its factorization.

101313303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634794 (or 15634779 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101313303120 its reverse (21303313101), we get a palindrome (122616616221).

The spelling of 101313303120 in words is "one hundred one billion, three hundred thirteen million, three hundred three thousand, one hundred twenty".