10231200311312 has 80 divisors (see below), whose sum is σ = 21039076270080. Its totient is φ = 4809408675456.

The previous prime is 10231200311303. The next prime is 10231200311359. The reversal of 10231200311312 is 21311300213201.

It is a happy number.

It is a super-2 number, since 2×10231200311312² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134641553 + ... + 134717519.

It is an arithmetic number, because the mean of its divisors is an integer number (262988453376).

Almost surely, 2^{10231200311312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231200311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10519538135040).

10231200311312 is an abundant number, since it is smaller than the sum of its proper divisors (10807875958768).

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

10231200311312 is a wasteful number, since it uses less digits than its factorization.

10231200311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82260 (or 82254 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10231200311312 its reverse (21311300213201), we get a palindrome (31542500524513).

The spelling of 10231200311312 in words is "ten trillion, two hundred thirty-one billion, two hundred million, three hundred eleven thousand, three hundred twelve".