10211321331312 has 40 divisors (see below), whose sum is σ = 26524988490000. Its totient is φ = 3384968394240.

The previous prime is 10211321331283. The next prime is 10211321331353. The reversal of 10211321331312 is 21313312311201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 587659437 + ... + 587676812.

It is an arithmetic number, because the mean of its divisors is an integer number (663124712250).

Almost surely, 2^{10211321331312} is an apocalyptic number.

10211321331312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211321331312 is an abundant number, since it is smaller than the sum of its proper divisors (16313667158688).

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

10211321331312 is a wasteful number, since it uses less digits than its factorization.

10211321331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175336441 (or 1175336435 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 10211321331312 its reverse (21313312311201), we get a palindrome (31524633642513).

The spelling of 10211321331312 in words is "ten trillion, two hundred eleven billion, three hundred twenty-one million, three hundred thirty-one thousand, three hundred twelve".