10130314000 has 80 divisors (see below), whose sum is σ = 24957532080. Its totient is φ = 3975628800.

The previous prime is 10130313997. The next prime is 10130314003. The reversal of 10130314000 is 41303101.

It is an interprime number because it is at equal distance from previous prime (10130313997) and next prime (10130314003).

It can be written as a sum of positive squares in 8 ways, for example, as 5758988544 + 4371325456 = 75888^2 + 66116^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10130314003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58216 + ... + 153784.

It is an arithmetic number, because the mean of its divisors is an integer number (311969151).

Almost surely, 2^10130314000 is an apocalyptic number.

10130314000 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 10130314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478766040).

10130314000 is an abundant number, since it is smaller than the sum of its proper divisors (14827218080).

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

10130314000 is an equidigital number, since it uses as much as digits as its factorization.

10130314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95645 (or 95629 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10130314000 its reverse (41303101), we get a palindrome (10171617101).

The spelling of 10130314000 in words is "ten billion, one hundred thirty million, three hundred fourteen thousand".