10302313312000 has 144 divisors (see below), whose sum is σ = 25812712965312. Its totient is φ = 4097102745600.

The previous prime is 10302313311991. The next prime is 10302313312009. The reversal of 10302313312000 is 21331320301.

10302313312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10302313311991) and next prime (10302313312009).

It is a super-2 number, since 2×10302313312000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302313312009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4605517 + ... + 6466483.

It is an arithmetic number, because the mean of its divisors is an integer number (179254951148).

Almost surely, 2^{10302313312000} is an apocalyptic number.

10302313312000 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 10302313312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906356482656).

10302313312000 is an abundant number, since it is smaller than the sum of its proper divisors (15510399653312).

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

10302313312000 is an equidigital number, since it uses as much as digits as its factorization.

10302313312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861171 (or 1861147 counting only the distinct ones).

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

Adding to 10302313312000 its reverse (21331320301), we get a palindrome (10323644632301).

The spelling of 10302313312000 in words is "ten trillion, three hundred two billion, three hundred thirteen million, three hundred twelve thousand".