101305993489344 has 1344 divisors, whose sum is σ = 362623023759360. Its totient is φ = 26397113794560.

The previous prime is 101305993489343. The next prime is 101305993489373. The reversal of 101305993489344 is 443984399503101.

It is a happy number.

101305993489344 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 0 + 599 + 3 + 4 + 8 + 9 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101305993489343) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157552089087 + ... + 157552089729.

It is an arithmetic number, because the mean of its divisors is an integer number (269808797440).

Almost surely, 2^{101305993489344} is an apocalyptic number.

101305993489344 is a gapful number since it is divisible by the number (14) 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 101305993489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181311511879680).

101305993489344 is an abundant number, since it is smaller than the sum of its proper divisors (261317030270016).

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

101305993489344 is a wasteful number, since it uses less digits than its factorization.

101305993489344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 101305993489344 in words is "one hundred one trillion, three hundred five billion, nine hundred ninety-three million, four hundred eighty-nine thousand, three hundred forty-four".