101313021320 has 256 divisors, whose sum is σ = 285145920000. Its totient is φ = 32282385408.

The previous prime is 101313021283. The next prime is 101313021343. The reversal of 101313021320 is 23120313101.

It is a super-3 number, since 3×101313021320³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13812374 + ... + 13819706.

It is an arithmetic number, because the mean of its divisors is an integer number (1113851250).

Almost surely, 2^101313021320 is an apocalyptic number.

101313021320 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 101313021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142572960000).

101313021320 is an abundant number, since it is smaller than the sum of its proper divisors (183832898680).

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

101313021320 is a wasteful number, since it uses less digits than its factorization.

101313021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101313021320 its reverse (23120313101), we get a palindrome (124433334421).

The spelling of 101313021320 in words is "one hundred one billion, three hundred thirteen million, twenty-one thousand, three hundred twenty".