312221221301133 has 32 divisors (see below), whose sum is σ = 464034092873600. Its totient is φ = 207479638124928.

The previous prime is 312221221301083. The next prime is 312221221301159. The reversal of 312221221301133 is 331103122122213.

312221221301133 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 2 + 1 + 221 + 301 + 133 = 666.

It is not a de Polignac number, because 312221221301133 - 2²¹ = 312221219203981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312221221301097 and 312221221301106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312221221301233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750401391 + ... + 750817347.

It is an arithmetic number, because the mean of its divisors is an integer number (14501065402300).

Almost surely, 2^{312221221301133} is an apocalyptic number.

It is an amenable number.

312221221301133 is a deficient number, since it is larger than the sum of its proper divisors (151812871572467).

312221221301133 is a wasteful number, since it uses less digits than its factorization.

312221221301133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505098 (or 505092 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312221221301133 its reverse (331103122122213), we get a palindrome (643324343423346).

The spelling of 312221221301133 in words is "three hundred twelve trillion, two hundred twenty-one billion, two hundred twenty-one million, three hundred one thousand, one hundred thirty-three".