101033323320 has 256 divisors, whose sum is σ = 316881331200. Its totient is φ = 25747476480.

The previous prime is 101033323247. The next prime is 101033323337. The reversal of 101033323320 is 23323330101.

It is a congruent number.

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, 65990955 + ... + 65992485.

It is an arithmetic number, because the mean of its divisors is an integer number (1237817700).

Almost surely, 2^101033323320 is an apocalyptic number.

101033323320 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 101033323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158440665600).

101033323320 is an abundant number, since it is smaller than the sum of its proper divisors (215848007880).

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

101033323320 is a wasteful number, since it uses less digits than its factorization.

101033323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 101033323320 its reverse (23323330101), we get a palindrome (124356653421).

The spelling of 101033323320 in words is "one hundred one billion, thirty-three million, three hundred twenty-three thousand, three hundred twenty".