10312010312000 has 224 divisors, whose sum is σ = 25813157029920. Its totient is φ = 4080384000000.

The previous prime is 10312010311969. The next prime is 10312010312069. The reversal of 10312010312000 is 21301021301.

It can be written as a sum of positive squares in 16 ways, for example, as 607638958144 + 9704371353856 = 779512^2 + 3115184^2 .

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1041507050 + ... + 1041516950.

Almost surely, 2^{10312010312000} is an apocalyptic number.

10312010312000 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 10312010312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906578514960).

10312010312000 is an abundant number, since it is smaller than the sum of its proper divisors (15501146717920).

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

10312010312000 is a wasteful number, since it uses less digits than its factorization.

10312010312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10312010312000 its reverse (21301021301), we get a palindrome (10333311333301).

It can be divided in two parts, 103120 and 10312000, that multiplied together give a square (1063373440000 = 1031200²).

The spelling of 10312010312000 in words is "ten trillion, three hundred twelve billion, ten million, three hundred twelve thousand".