10301313200 has 240 divisors, whose sum is σ = 27058777056. Its totient is φ = 3753984000.

The previous prime is 10301313193. The next prime is 10301313221. The reversal of 10301313200 is 231310301.

It is a super-2 number, since 2×10301313200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36400259 + ... + 36400541.

Almost surely, 2^10301313200 is an apocalyptic number.

10301313200 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 10301313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529388528).

10301313200 is an abundant number, since it is smaller than the sum of its proper divisors (16757463856).

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

10301313200 is a wasteful number, since it uses less digits than its factorization.

10301313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

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

Adding to 10301313200 its reverse (231310301), we get a palindrome (10532623501).

The spelling of 10301313200 in words is "ten billion, three hundred one million, three hundred thirteen thousand, two hundred".