10313130102400 has 192 divisors, whose sum is σ = 25737112406880. Its totient is φ = 4083289026560.

The previous prime is 10313130102383. The next prime is 10313130102551. The reversal of 10313130102400 is 420103131301.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 125626167 + ... + 125708233.

Almost surely, 2^{10313130102400} is an apocalyptic number.

10313130102400 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 10313130102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868556203440).

10313130102400 is an abundant number, since it is smaller than the sum of its proper divisors (15423982304480).

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

10313130102400 is a wasteful number, since it uses less digits than its factorization.

10313130102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82491 (or 82474 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10313130102400 its reverse (420103131301), we get a palindrome (10733233233701).

The spelling of 10313130102400 in words is "ten trillion, three hundred thirteen billion, one hundred thirty million, one hundred two thousand, four hundred".