101313320 has 64 divisors (see below), whose sum is σ = 242352000. Its totient is φ = 38009088.

The previous prime is 101313241. The next prime is 101313343. The reversal of 101313320 is 23313101.

It is a junction number, because it is equal to n+sod(n) for n = 101313295 and 101313304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82229 + ... + 83451.

It is an arithmetic number, because the mean of its divisors is an integer number (3786750).

Almost surely, 2^101313320 is an apocalyptic number.

101313320 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 101313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121176000).

101313320 is an abundant number, since it is smaller than the sum of its proper divisors (141038680).

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

101313320 is a wasteful number, since it uses less digits than its factorization.

101313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 101313320 is about 10065.4518030737. The cubic root of 101313320 is about 466.1820161212.

Adding to 101313320 its reverse (23313101), we get a palindrome (124626421).

The spelling of 101313320 in words is "one hundred one million, three hundred thirteen thousand, three hundred twenty".