101323112130 has 192 divisors, whose sum is σ = 274271961600. Its totient is φ = 25930713600.

The previous prime is 101323112119. The next prime is 101323112131. The reversal of 101323112130 is 31211323101.

101323112130 is a `hidden beast` number, since 10 + 132 + 311 + 213 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101323112131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140921911 + ... + 140922629.

It is an arithmetic number, because the mean of its divisors is an integer number (1428499800).

Almost surely, 2^101323112130 is an apocalyptic number.

101323112130 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 101323112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135980800).

101323112130 is an abundant number, since it is smaller than the sum of its proper divisors (172948849470).

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

101323112130 is a wasteful number, since it uses less digits than its factorization.

101323112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101323112130 its reverse (31211323101), we get a palindrome (132534435231).

The spelling of 101323112130 in words is "one hundred one billion, three hundred twenty-three million, one hundred twelve thousand, one hundred thirty".