101301123311033 has 2 divisors, whose sum is σ = 101301123311034. Its totient is φ = 101301123311032.

The previous prime is 101301123310997. The next prime is 101301123311053. The reversal of 101301123311033 is 330113321103101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100173134874409 + 1127988436624 = 10008653^2 + 1062068^2 .

It is a cyclic number.

It is not a de Polignac number, because 101301123311033 - 2⁶ = 101301123310969 is a prime.

It is a super-2 number, since 2×101301123311033² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101301123311053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50650561655516 + 50650561655517.

It is an arithmetic number, because the mean of its divisors is an integer number (50650561655517).

Almost surely, 2^{101301123311033} is an apocalyptic number.

It is an amenable number.

101301123311033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101301123311033 is an equidigital number, since it uses as much as digits as its factorization.

101301123311033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 101301123311033 its reverse (330113321103101), we get a palindrome (431414444414134).

The spelling of 101301123311033 in words is "one hundred one trillion, three hundred one billion, one hundred twenty-three million, three hundred eleven thousand, thirty-three".