101613404340 has 192 divisors, whose sum is σ = 361926028800. Its totient is φ = 23185170432.

The previous prime is 101613404327. The next prime is 101613404341. The reversal of 101613404340 is 43404316101.

101613404340 is a `hidden beast` number, since 1 + 0 + 1 + 613 + 4 + 0 + 4 + 3 + 40 = 666.

101613404340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101613404341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2157766 + ... + 2204354.

It is an arithmetic number, because the mean of its divisors is an integer number (1885031400).

Almost surely, 2^101613404340 is an apocalyptic number.

101613404340 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 101613404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180963014400).

101613404340 is an abundant number, since it is smaller than the sum of its proper divisors (260312624460).

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

101613404340 is a wasteful number, since it uses less digits than its factorization.

101613404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47191 (or 47183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 101613404340 in words is "one hundred one billion, six hundred thirteen million, four hundred four thousand, three hundred forty".