101314253320 has 256 divisors, whose sum is σ = 286694277120. Its totient is φ = 31421952000.

The previous prime is 101314253311. The next prime is 101314253353. The reversal of 101314253320 is 23352413101.

It is a happy 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, 22279287 + ... + 22283833.

It is an arithmetic number, because the mean of its divisors is an integer number (1119899520).

Almost surely, 2^101314253320 is an apocalyptic number.

101314253320 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 101314253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143347138560).

101314253320 is an abundant number, since it is smaller than the sum of its proper divisors (185380023800).

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

101314253320 is a wasteful number, since it uses less digits than its factorization.

101314253320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 101314253320 its reverse (23352413101), we get a palindrome (124666666421).

The spelling of 101314253320 in words is "one hundred one billion, three hundred fourteen million, two hundred fifty-three thousand, three hundred twenty".