10313896020400 has 240 divisors, whose sum is σ = 28508503339008. Its totient is φ = 3512601216000.

The previous prime is 10313896020367. The next prime is 10313896020401. The reversal of 10313896020400 is 402069831301.

It is a super-2 number, since 2×10313896020400² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10313896020400.

It is not an unprimeable number, because it can be changed into a prime (10313896020401) 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 47 ways as a sum of consecutive naturals, for example, 287830485 + ... + 287866315.

Almost surely, 2^{10313896020400} is an apocalyptic number.

10313896020400 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 10313896020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254251669504).

10313896020400 is an abundant number, since it is smaller than the sum of its proper divisors (18194607318608).

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

10313896020400 is a wasteful number, since it uses less digits than its factorization.

10313896020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36540 (or 36529 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 10313896020400 in words is "ten trillion, three hundred thirteen billion, eight hundred ninety-six million, twenty thousand, four hundred".