10212330332113 has 48 divisors (see below), whose sum is σ = 13255285070160. Its totient is φ = 7789282099200.

The previous prime is 10212330332107. The next prime is 10212330332123. The reversal of 10212330332113 is 31123303321201.

It can be written as a sum of positive squares in 8 ways, for example, as 381390234624 + 9830940097489 = 617568^2 + 3135433^2 .

It is not a de Polignac number, because 10212330332113 - 2³⁷ = 10074891378641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212330332123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11409973 + ... + 12272413.

It is an arithmetic number, because the mean of its divisors is an integer number (276151772295).

Almost surely, 2^{10212330332113} is an apocalyptic number.

10212330332113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10212330332113 is a deficient number, since it is larger than the sum of its proper divisors (3042954738047).

10212330332113 is a wasteful number, since it uses less digits than its factorization.

10212330332113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863138 (or 863131 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 10212330332113 its reverse (31123303321201), we get a palindrome (41335633653314).

The spelling of 10212330332113 in words is "ten trillion, two hundred twelve billion, three hundred thirty million, three hundred thirty-two thousand, one hundred thirteen".