10133434111221 has 12 divisors (see below), whose sum is σ = 14638518622572. Its totient is φ = 6755006117376.

The previous prime is 10133434111217. The next prime is 10133434111223. The reversal of 10133434111221 is 12211143433101.

10133434111221 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 434 + 1 + 1 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6998728451121 + 3134705660100 = 2645511^2 + 1770510^2 .

It is not a de Polignac number, because 10133434111221 - 2² = 10133434111217 is a prime.

It is a super-2 number, since 2×10133434111221² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133434111223) 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, 51281196 + ... + 51478421.

It is an arithmetic number, because the mean of its divisors is an integer number (1219876551881).

Almost surely, 2^{10133434111221} is an apocalyptic number.

It is an amenable number.

10133434111221 is a deficient number, since it is larger than the sum of its proper divisors (4505084511351).

10133434111221 is a wasteful number, since it uses less digits than its factorization.

10133434111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102770580 (or 102770577 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10133434111221 its reverse (12211143433101), we get a palindrome (22344577544322).

The spelling of 10133434111221 in words is "ten trillion, one hundred thirty-three billion, four hundred thirty-four million, one hundred eleven thousand, two hundred twenty-one".