101418413382 has 384 divisors, whose sum is σ = 282251354112. Its totient is φ = 25866086400.

The previous prime is 101418413333. The next prime is 101418413417. The reversal of 101418413382 is 283314814101.

101418413382 is a `hidden beast` number, since 101 + 418 + 4 + 133 + 8 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133973748 + ... + 133974504.

It is an arithmetic number, because the mean of its divisors is an integer number (735029568).

Almost surely, 2^101418413382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101418413382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141125677056).

101418413382 is an abundant number, since it is smaller than the sum of its proper divisors (180832940730).

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

101418413382 is a wasteful number, since it uses less digits than its factorization.

101418413382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 101418413382 in words is "one hundred one billion, four hundred eighteen million, four hundred thirteen thousand, three hundred eighty-two".