101311103320 has 128 divisors (see below), whose sum is σ = 268228920960. Its totient is φ = 33715261440.

The previous prime is 101311103269. The next prime is 101311103357. The reversal of 101311103320 is 23301113101.

It is a junction number, because it is equal to n+sod(n) for n = 101311103294 and 101311103303.

It is a congruent number.

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, 2239162 + ... + 2283958.

It is an arithmetic number, because the mean of its divisors is an integer number (2095538445).

Almost surely, 2^101311103320 is an apocalyptic number.

101311103320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101311103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134114460480).

101311103320 is an abundant number, since it is smaller than the sum of its proper divisors (166917817640).

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

101311103320 is a wasteful number, since it uses less digits than its factorization.

101311103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45053 (or 45049 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101311103320 its reverse (23301113101), we get a palindrome (124612216421).

The spelling of 101311103320 in words is "one hundred one billion, three hundred eleven million, one hundred three thousand, three hundred twenty".