101310133110 has 64 divisors (see below), whose sum is σ = 251280506880. Its totient is φ = 26114048640.

The previous prime is 101310133087. The next prime is 101310133123. The reversal of 101310133110 is 11331013101.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101310133110.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 739476 + ... + 865704.

It is an arithmetic number, because the mean of its divisors is an integer number (3926257920).

Almost surely, 2^101310133110 is an apocalyptic number.

101310133110 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 101310133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125640253440).

101310133110 is an abundant number, since it is smaller than the sum of its proper divisors (149970373770).

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

101310133110 is a wasteful number, since it uses less digits than its factorization.

101310133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127133.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 101310133110 its reverse (11331013101), we get a palindrome (112641146211).

The spelling of 101310133110 in words is "one hundred one billion, three hundred ten million, one hundred thirty-three thousand, one hundred ten".