101331105555240 has 384 divisors, whose sum is σ = 375023487496320. Its totient is φ = 23509369497600.

The previous prime is 101331105555227. The next prime is 101331105555247. The reversal of 101331105555240 is 42555501133101.

101331105555240 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 1 + 10 + 55 + 552 + 40 = 666.

101331105555240 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 101331105555195 and 101331105555204.

It is not an unprimeable number, because it can be changed into a prime (101331105555247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3268987 + ... + 14606453.

It is an arithmetic number, because the mean of its divisors is an integer number (976623665355).

Almost surely, 2^{101331105555240} is an apocalyptic number.

101331105555240 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 101331105555240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187511743748160).

101331105555240 is an abundant number, since it is smaller than the sum of its proper divisors (273692381941080).

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

101331105555240 is a wasteful number, since it uses less digits than its factorization.

101331105555240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11337593 (or 11337586 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 101331105555240 its reverse (42555501133101), we get a palindrome (143886606688341).

The spelling of 101331105555240 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred five million, five hundred fifty-five thousand, two hundred forty".