101440313028 has 18 divisors (see below), whose sum is σ = 256418569134. Its totient is φ = 33813437664.

The previous prime is 101440313027. The next prime is 101440313147. The reversal of 101440313028 is 820313044101.

101440313028 is a `hidden beast` number, since 101 + 4 + 403 + 130 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66647618244 + 34792694784 = 258162^2 + 186528^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 101440312992 and 101440313010.

It is not an unprimeable number, because it can be changed into a prime (101440313027) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1408893201 + ... + 1408893272.

It is an arithmetic number, because the mean of its divisors is an integer number (14245476063).

Almost surely, 2^101440313028 is an apocalyptic number.

101440313028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101440313028 is an abundant number, since it is smaller than the sum of its proper divisors (154978256106).

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

101440313028 is a wasteful number, since it uses less digits than its factorization.

101440313028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817786483 (or 2817786478 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101440313028 its reverse (820313044101), we get a palindrome (921753357129).

The spelling of 101440313028 in words is "one hundred one billion, four hundred forty million, three hundred thirteen thousand, twenty-eight".