100213120413333 has 12 divisors (see below), whose sum is σ = 148118617252320. Its totient is φ = 65255055152616.

The previous prime is 100213120413323. The next prime is 100213120413337. The reversal of 100213120413333 is 333314021312001.

100213120413333 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 312 + 0 + 4 + 13 + 333 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-100213120413333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213120413297 and 100213120413306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213120413337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129474315393 + ... + 129474316166.

It is an arithmetic number, because the mean of its divisors is an integer number (12343218104360).

Almost surely, 2^{100213120413333} is an apocalyptic number.

It is an amenable number.

100213120413333 is a deficient number, since it is larger than the sum of its proper divisors (47905496838987).

100213120413333 is a wasteful number, since it uses less digits than its factorization.

100213120413333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258948631608 (or 258948631605 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 100213120413333 its reverse (333314021312001), we get a palindrome (433527141725334).

The spelling of 100213120413333 in words is "one hundred trillion, two hundred thirteen billion, one hundred twenty million, four hundred thirteen thousand, three hundred thirty-three".