10051132000 has 384 divisors, whose sum is σ = 31027546368. Its totient is φ = 3115008000.

The previous prime is 10051131977. The next prime is 10051132033. The reversal of 10051132000 is 23115001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19291740 + ... + 19292260.

It is an arithmetic number, because the mean of its divisors is an integer number (80800902).

Almost surely, 2^10051132000 is an apocalyptic number.

10051132000 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 10051132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513773184).

10051132000 is an abundant number, since it is smaller than the sum of its proper divisors (20976414368).

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

10051132000 is a wasteful number, since it uses less digits than its factorization.

10051132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 10051132000 its reverse (23115001), we get a palindrome (10074247001).

The spelling of 10051132000 in words is "ten billion, fifty-one million, one hundred thirty-two thousand".