10300011133000 has 256 divisors, whose sum is σ = 25402295692800. Its totient is φ = 3901414809600.

The previous prime is 10300011132997. The next prime is 10300011133003. The reversal of 10300011133000 is 33111000301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10300011132997) and next prime (10300011133003).

It is not an unprimeable number, because it can be changed into a prime (10300011133003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2918675236 + ... + 2918678764.

It is an arithmetic number, because the mean of its divisors is an integer number (99227717550).

Almost surely, 2^{10300011133000} is an apocalyptic number.

10300011133000 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 10300011133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12701147846400).

10300011133000 is an abundant number, since it is smaller than the sum of its proper divisors (15102284559800).

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

10300011133000 is a wasteful number, since it uses less digits than its factorization.

10300011133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10300011133000 its reverse (33111000301), we get a palindrome (10333122133301).

The spelling of 10300011133000 in words is "ten trillion, three hundred billion, eleven million, one hundred thirty-three thousand".