10313049600 has 1200 divisors, whose sum is σ = 46047276000. Its totient is φ = 2275983360.

The previous prime is 10313049583. The next prime is 10313049601. The reversal of 10313049600 is 694031301.

10313049600 is a `hidden beast` number, since 1 + 0 + 3 + 13 + 0 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313049601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 355622386 + ... + 355622414.

It is an arithmetic number, because the mean of its divisors is an integer number (38372730).

Almost surely, 2^10313049600 is an apocalyptic number.

10313049600 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 10313049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23023638000).

10313049600 is an abundant number, since it is smaller than the sum of its proper divisors (35734226400).

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

10313049600 is an frugal number, since it uses more digits than its factorization.

10313049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10313049600 in words is "ten billion, three hundred thirteen million, forty-nine thousand, six hundred".