133131213121 has 2 divisors, whose sum is σ = 133131213122. Its totient is φ = 133131213120.

The previous prime is 133131213043. The next prime is 133131213179. The reversal of 133131213121 is 121312131331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132088633600 + 1042579521 = 363440^2 + 32289^2 .

It is a cyclic number.

It is not a de Polignac number, because 133131213121 - 2⁹ = 133131212609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133131213092 and 133131213101.

It is not a weakly prime, because it can be changed into another prime (133131213521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66565606560 + 66565606561.

It is an arithmetic number, because the mean of its divisors is an integer number (66565606561).

Almost surely, 2^133131213121 is an apocalyptic number.

It is an amenable number.

133131213121 is a deficient number, since it is larger than the sum of its proper divisors (1).

133131213121 is an equidigital number, since it uses as much as digits as its factorization.

133131213121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 22.

Adding to 133131213121 its reverse (121312131331), we get a palindrome (254443344452).

The spelling of 133131213121 in words is "one hundred thirty-three billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred twenty-one".