101314531440 has 240 divisors, whose sum is σ = 379224612000. Its totient is φ = 24089591808.

The previous prime is 101314531403. The next prime is 101314531469. The reversal of 101314531440 is 44135413101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14736 + ... + 450384.

It is an arithmetic number, because the mean of its divisors is an integer number (1580102550).

Almost surely, 2^101314531440 is an apocalyptic number.

101314531440 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 101314531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189612306000).

101314531440 is an abundant number, since it is smaller than the sum of its proper divisors (277910080560).

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

101314531440 is a wasteful number, since it uses less digits than its factorization.

101314531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435704 (or 435695 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101314531440 its reverse (44135413101), we get a palindrome (145449944541).

The spelling of 101314531440 in words is "one hundred one billion, three hundred fourteen million, five hundred thirty-one thousand, four hundred forty".