10346130000 has 500 divisors, whose sum is σ = 38283111108. Its totient is φ = 2695680000.

The previous prime is 10346129993. The next prime is 10346130001. The reversal of 10346130000 is 3164301.

It can be written as a sum of positive squares in 10 ways, for example, as 5558597136 + 4787532864 = 74556^2 + 69192^2 .

It is a tau number, because it is divible by the number of its divisors (500).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10346130001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 42929880 + ... + 42930120.

Almost surely, 2^10346130000 is an apocalyptic number.

10346130000 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 10346130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141555554).

10346130000 is an abundant number, since it is smaller than the sum of its proper divisors (27936981108).

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

10346130000 is an equidigital number, since it uses as much as digits as its factorization.

10346130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 304 counting only the distinct ones).

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

Adding to 10346130000 its reverse (3164301), we get a palindrome (10349294301).

The spelling of 10346130000 in words is "ten billion, three hundred forty-six million, one hundred thirty thousand".