101313414150 has 192 divisors, whose sum is σ = 291461345280. Its totient is φ = 23084582400.

The previous prime is 101313414143. The next prime is 101313414151. The reversal of 101313414150 is 51414313101.

It is a self number, because there is not a number n which added to its sum of digits gives 101313414150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313414151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1353916 + ... + 1426784.

It is an arithmetic number, because the mean of its divisors is an integer number (1518027840).

Almost surely, 2^101313414150 is an apocalyptic number.

101313414150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101313414150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145730672640).

101313414150 is an abundant number, since it is smaller than the sum of its proper divisors (190147931130).

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

101313414150 is a wasteful number, since it uses less digits than its factorization.

101313414150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72951 (or 72946 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 101313414150 its reverse (51414313101), we get a palindrome (152727727251).

The spelling of 101313414150 in words is "one hundred one billion, three hundred thirteen million, four hundred fourteen thousand, one hundred fifty".