211332131101033 has 2 divisors, whose sum is σ = 211332131101034. Its totient is φ = 211332131101032.

The previous prime is 211332131101001. The next prime is 211332131101061. The reversal of 211332131101033 is 330101131233112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122730348327129 + 88601782773904 = 11078373^2 + 9412852^2 .

It is a cyclic number.

It is not a de Polignac number, because 211332131101033 - 2⁵ = 211332131101001 is a prime.

It is a super-2 number, since 2×211332131101033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211332131100989 and 211332131101007.

It is not a weakly prime, because it can be changed into another prime (211332131101433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105666065550516 + 105666065550517.

It is an arithmetic number, because the mean of its divisors is an integer number (105666065550517).

Almost surely, 2^{211332131101033} is an apocalyptic number.

It is an amenable number.

211332131101033 is a deficient number, since it is larger than the sum of its proper divisors (1).

211332131101033 is an equidigital number, since it uses as much as digits as its factorization.

211332131101033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 211332131101033 its reverse (330101131233112), we get a palindrome (541433262334145).

The spelling of 211332131101033 in words is "two hundred eleven trillion, three hundred thirty-two billion, one hundred thirty-one million, one hundred one thousand, thirty-three".