101313202140 has 192 divisors, whose sum is σ = 324592773120. Its totient is φ = 26219531520.

The previous prime is 101313202121. The next prime is 101313202157. The reversal of 101313202140 is 41202313101.

101313202140 is a `hidden beast` number, since 1 + 0 + 131 + 320 + 214 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3631645 + ... + 3659435.

It is an arithmetic number, because the mean of its divisors is an integer number (1690587360).

Almost surely, 2^101313202140 is an apocalyptic number.

101313202140 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 101313202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162296386560).

101313202140 is an abundant number, since it is smaller than the sum of its proper divisors (223279570980).

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

101313202140 is a wasteful number, since it uses less digits than its factorization.

101313202140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28009 (or 28001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101313202140 its reverse (41202313101), we get a palindrome (142515515241).

The spelling of 101313202140 in words is "one hundred one billion, three hundred thirteen million, two hundred two thousand, one hundred forty".