101493116315136 has 1920 divisors, whose sum is σ = 383072481792000. Its totient is φ = 26294575104000.

The previous prime is 101493116315119. The next prime is 101493116315141. The reversal of 101493116315136 is 631513611394101.

101493116315136 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 9 + 3 + 1 + 1 + 631 + 5 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101493116315091 and 101493116315100.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 135143962761 + ... + 135143963511.

It is an arithmetic number, because the mean of its divisors is an integer number (199516917600).

Almost surely, 2^{101493116315136} is an apocalyptic number.

101493116315136 is a gapful number since it is divisible by the number (16) 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 101493116315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191536240896000).

101493116315136 is an abundant number, since it is smaller than the sum of its proper divisors (281579365476864).

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

101493116315136 is a wasteful number, since it uses less digits than its factorization.

101493116315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 101493116315136 in words is "one hundred one trillion, four hundred ninety-three billion, one hundred sixteen million, three hundred fifteen thousand, one hundred thirty-six".