101301000008 has 128 divisors (see below), whose sum is σ = 213149905920. Its totient is φ = 44842533120.

The previous prime is 101300999993. The next prime is 101301000043. The reversal of 101301000008 is 800000103101.

It is a junction number, because it is equal to n+sod(n) for n = 101300999956 and 101301000001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41061191 + ... + 41063657.

It is an arithmetic number, because the mean of its divisors is an integer number (1665233640).

Almost surely, 2^101301000008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101301000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106574952960).

101301000008 is an abundant number, since it is smaller than the sum of its proper divisors (111848905912).

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

101301000008 is a wasteful number, since it uses less digits than its factorization.

101301000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101301000008 its reverse (800000103101), we get a palindrome (901301103109).

The spelling of 101301000008 in words is "one hundred one billion, three hundred one million, eight", and thus it is an aban number.