10132412212213 has 32 divisors (see below), whose sum is σ = 10580914206720. Its totient is φ = 9697016770560.

The previous prime is 10132412212189. The next prime is 10132412212231. The reversal of 10132412212213 is 31221221423101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10132412212213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132412210213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136800556 + ... + 136874602.

It is an arithmetic number, because the mean of its divisors is an integer number (330653568960).

Almost surely, 2^{10132412212213} is an apocalyptic number.

It is an amenable number.

10132412212213 is a deficient number, since it is larger than the sum of its proper divisors (448501994507).

10132412212213 is a wasteful number, since it uses less digits than its factorization.

10132412212213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74557.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10132412212213 its reverse (31221221423101), we get a palindrome (41353633635314).

The spelling of 10132412212213 in words is "ten trillion, one hundred thirty-two billion, four hundred twelve million, two hundred twelve thousand, two hundred thirteen".