10134331200 has 420 divisors, whose sum is σ = 42576670752. Its totient is φ = 2316211200.

The previous prime is 10134331147. The next prime is 10134331253. The reversal of 10134331200 is 213343101.

10134331200 is a `hidden beast` number, since 1 + 0 + 134 + 331 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (10134331147) and next prime (10134331253).

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 901615 + ... + 912785.

Almost surely, 2^10134331200 is an apocalyptic number.

10134331200 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 10134331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288335376).

10134331200 is an abundant number, since it is smaller than the sum of its proper divisors (32442339552).

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

10134331200 is a wasteful number, since it uses less digits than its factorization.

10134331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10134331200 its reverse (213343101), we get a palindrome (10347674301).

The spelling of 10134331200 in words is "ten billion, one hundred thirty-four million, three hundred thirty-one thousand, two hundred".