10002132313300 has 36 divisors (see below), whose sum is σ = 21720574973916. Its totient is φ = 3997913228800.

The previous prime is 10002132313297. The next prime is 10002132313307. The reversal of 10002132313300 is 331323120001.

It can be written as a sum of positive squares in 6 ways, for example, as 74919353796 + 9927212959504 = 273714^2 + 3150748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002132313307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36609427 + ... + 36881626.

It is an arithmetic number, because the mean of its divisors is an integer number (603349304831).

Almost surely, 2^{10002132313300} is an apocalyptic number.

10002132313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002132313300 is an abundant number, since it is smaller than the sum of its proper divisors (11718442660616).

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

10002132313300 is a wasteful number, since it uses less digits than its factorization.

10002132313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73492428 (or 73492421 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10002132313300 its reverse (331323120001), we get a palindrome (10333455433301).

The spelling of 10002132313300 in words is "ten trillion, two billion, one hundred thirty-two million, three hundred thirteen thousand, three hundred".