33961381121 has 2 divisors, whose sum is σ = 33961381122. Its totient is φ = 33961381120.

The previous prime is 33961381043. The next prime is 33961381169. The reversal of 33961381121 is 12118316933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20927962225 + 13033418896 = 144665^2 + 114164^2 .

It is a cyclic number.

It is not a de Polignac number, because 33961381121 - 2¹⁴ = 33961364737 is a prime.

It is not a weakly prime, because it can be changed into another prime (33961381171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16980690560 + 16980690561.

It is an arithmetic number, because the mean of its divisors is an integer number (16980690561).

Almost surely, 2^33961381121 is an apocalyptic number.

It is an amenable number.

33961381121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33961381121 is an equidigital number, since it uses as much as digits as its factorization.

33961381121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 38.

The spelling of 33961381121 in words is "thirty-three billion, nine hundred sixty-one million, three hundred eighty-one thousand, one hundred twenty-one".