10133131321233 has 12 divisors (see below), whose sum is σ = 14637091871220. Its totient is φ = 6755260898016.

The previous prime is 10133131321217. The next prime is 10133131321259. The reversal of 10133131321233 is 33212313133101.

10133131321233 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 313 + 1 + 321 + 23 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2156703719184 + 7976427602049 = 1468572^2 + 2824257^2 .

It is not a de Polignac number, because 10133131321233 - 2⁴ = 10133131321217 is a prime.

It is a super-3 number, since 3×10133131321233³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10133131321197 and 10133131321206.

It is not an unprimeable number, because it can be changed into a prime (10133131321283) 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, 12930118 + ... + 13691391.

It is an arithmetic number, because the mean of its divisors is an integer number (1219757655935).

Almost surely, 2^{10133131321233} is an apocalyptic number.

It is an amenable number.

10133131321233 is a deficient number, since it is larger than the sum of its proper divisors (4503960549987).

10133131321233 is a wasteful number, since it uses less digits than its factorization.

10133131321233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26663808 (or 26663805 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 10133131321233 its reverse (33212313133101), we get a palindrome (43345444454334).

The spelling of 10133131321233 in words is "ten trillion, one hundred thirty-three billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred thirty-three".