101320213223130 has 256 divisors, whose sum is σ = 277052592015360. Its totient is φ = 23488277120000.

The previous prime is 101320213223113. The next prime is 101320213223209. The reversal of 101320213223130 is 31322312023101.

101320213223130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101320213223130.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5632959997 + ... + 5632977983.

It is an arithmetic number, because the mean of its divisors is an integer number (1082236687560).

Almost surely, 2^{101320213223130} is an apocalyptic number.

101320213223130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101320213223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138526296007680).

101320213223130 is an abundant number, since it is smaller than the sum of its proper divisors (175732378792230).

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

101320213223130 is a wasteful number, since it uses less digits than its factorization.

101320213223130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23645.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101320213223130 its reverse (31322312023101), we get a palindrome (132642525246231).

The spelling of 101320213223130 in words is "one hundred one trillion, three hundred twenty billion, two hundred thirteen million, two hundred twenty-three thousand, one hundred thirty".