133121121323031 has 8 divisors (see below), whose sum is σ = 197216476034160. Its totient is φ = 88747414215336.

The previous prime is 133121121323027. The next prime is 133121121323051. The reversal of 133121121323031 is 130323121121331.

133121121323031 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 211 + 213 + 230 + 3 + 1 = 666.

It is not a de Polignac number, because 133121121323031 - 2² = 133121121323027 is a prime.

It is a super-2 number, since 2×133121121323031² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4930411900853 = 133121121323031 / (1 + 3 + 3 + 1 + 2 + 1 + 1 + 2 + 1 + 3 + 2 + 3 + 0 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 133121121322986 and 133121121323004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133121121323051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2465205950400 + ... + 2465205950453.

It is an arithmetic number, because the mean of its divisors is an integer number (24652059504270).

Almost surely, 2^{133121121323031} is an apocalyptic number.

133121121323031 is a deficient number, since it is larger than the sum of its proper divisors (64095354711129).

133121121323031 is an equidigital number, since it uses as much as digits as its factorization.

133121121323031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930411900862 (or 4930411900856 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 133121121323031 its reverse (130323121121331), we get a palindrome (263444242444362).

The spelling of 133121121323031 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, one hundred twenty-one million, three hundred twenty-three thousand, thirty-one".