101312013330 has 128 divisors (see below), whose sum is σ = 294923151360. Its totient is φ = 24544048320.

The previous prime is 101312013323. The next prime is 101312013343. The reversal of 101312013330 is 33310213101.

It is a happy number.

101312013330 is a `hidden beast` number, since 1 + 0 + 131 + 201 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4762177 + ... + 4783403.

It is an arithmetic number, because the mean of its divisors is an integer number (2304087120).

Almost surely, 2^101312013330 is an apocalyptic number.

101312013330 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 101312013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147461575680).

101312013330 is an abundant number, since it is smaller than the sum of its proper divisors (193611138030).

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

101312013330 is a wasteful number, since it uses less digits than its factorization.

101312013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22861 (or 22855 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101312013330 its reverse (33310213101), we get a palindrome (134622226431).

The spelling of 101312013330 in words is "one hundred one billion, three hundred twelve million, thirteen thousand, three hundred thirty".