101213320 has 64 divisors (see below), whose sum is σ = 249480000. Its totient is φ = 36726528.

The previous prime is 101213311. The next prime is 101213327. The reversal of 101213320 is 23312101.

It is a super-2 number, since 2×101213320² = 20488272290844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 101213320.

It is not an unprimeable number, because it can be changed into a prime (101213327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29031 + ... + 32329.

It is an arithmetic number, because the mean of its divisors is an integer number (3898125).

Almost surely, 2^101213320 is an apocalyptic number.

101213320 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 101213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124740000).

101213320 is an abundant number, since it is smaller than the sum of its proper divisors (148266680).

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

101213320 is a wasteful number, since it uses less digits than its factorization.

101213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101213320 is about 10060.4830897925. The cubic root of 101213320 is about 466.0285859898.

Adding to 101213320 its reverse (23312101), we get a palindrome (124525421).

The spelling of 101213320 in words is "one hundred one million, two hundred thirteen thousand, three hundred twenty".