101310130320 has 240 divisors, whose sum is σ = 377123148288. Its totient is φ = 22409533440.

The previous prime is 101310130283. The next prime is 101310130321. The reversal of 101310130320 is 23031013101.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101310130320.

It is not an unprimeable number, because it can be changed into a prime (101310130321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225612 + ... + 503508.

Almost surely, 2^101310130320 is an apocalyptic number.

101310130320 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 101310130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188561574144).

101310130320 is an abundant number, since it is smaller than the sum of its proper divisors (275813017968).

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

101310130320 is a wasteful number, since it uses less digits than its factorization.

101310130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277958 (or 277945 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101310130320 its reverse (23031013101), we get a palindrome (124341143421).

The spelling of 101310130320 in words is "one hundred one billion, three hundred ten million, one hundred thirty thousand, three hundred twenty".