10153316000 has 192 divisors, whose sum is σ = 25983659520. Its totient is φ = 3896089600.

The previous prime is 10153315993. The next prime is 10153316003. The reversal of 10153316000 is 61335101.

It is a happy number.

10153316000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10153316003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9963491 + ... + 9964509.

It is an arithmetic number, because the mean of its divisors is an integer number (135331560).

Almost surely, 2^10153316000 is an apocalyptic number.

10153316000 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 10153316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991829760).

10153316000 is an abundant number, since it is smaller than the sum of its proper divisors (15830343520).

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

10153316000 is a wasteful number, since it uses less digits than its factorization.

10153316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The spelling of 10153316000 in words is "ten billion, one hundred fifty-three million, three hundred sixteen thousand".