10371013200 has 600 divisors, whose sum is σ = 41526270720. Its totient is φ = 2463436800.

The previous prime is 10371013171. The next prime is 10371013207. The reversal of 10371013200 is 231017301.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10371013207) 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, 10464705 + ... + 10465695.

Almost surely, 2^10371013200 is an apocalyptic number.

10371013200 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 10371013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20763135360).

10371013200 is an abundant number, since it is smaller than the sum of its proper divisors (31155257520).

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

10371013200 is a wasteful number, since it uses less digits than its factorization.

10371013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The spelling of 10371013200 in words is "ten billion, three hundred seventy-one million, thirteen thousand, two hundred".