101103113310 has 128 divisors (see below), whose sum is σ = 260274470400. Its totient is φ = 25058004480.

The previous prime is 101103113249. The next prime is 101103113323. The reversal of 101103113310 is 13311301101.

It is a super-2 number, since 2×101103113310² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101103113310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18191052 + ... + 18196608.

It is an arithmetic number, because the mean of its divisors is an integer number (2033394300).

Almost surely, 2^101103113310 is an apocalyptic number.

101103113310 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 101103113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130137235200).

101103113310 is an abundant number, since it is smaller than the sum of its proper divisors (159171357090).

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

101103113310 is a wasteful number, since it uses less digits than its factorization.

101103113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186.

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

Adding to 101103113310 its reverse (13311301101), we get a palindrome (114414414411).

The spelling of 101103113310 in words is "one hundred one billion, one hundred three million, one hundred thirteen thousand, three hundred ten".