10313313312000 has 288 divisors, whose sum is σ = 34307705263104. Its totient is φ = 2746039296000.

The previous prime is 10313313311897. The next prime is 10313313312017. The reversal of 10313313312000 is 21331331301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63374737 + ... + 63537263.

It is an arithmetic number, because the mean of its divisors is an integer number (119123976608).

Almost surely, 2^{10313313312000} is an apocalyptic number.

10313313312000 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 10313313312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153852631552).

10313313312000 is an abundant number, since it is smaller than the sum of its proper divisors (23994391951104).

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

10313313312000 is an equidigital number, since it uses as much as digits as its factorization.

10313313312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163222 (or 163198 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10313313312000 its reverse (21331331301), we get a palindrome (10334644643301).

The spelling of 10313313312000 in words is "ten trillion, three hundred thirteen billion, three hundred thirteen million, three hundred twelve thousand".