105311001142233 has 6 divisors (see below), whose sum is σ = 152115890538794. Its totient is φ = 70207334094816.

The previous prime is 105311001142213. The next prime is 105311001142289. The reversal of 105311001142233 is 332241100113501.

105311001142233 is a `hidden beast` number, since 1 + 0 + 5 + 311 + 0 + 0 + 114 + 2 + 233 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104827353221529 + 483647920704 = 10238523^2 + 695448^2 .

It is not a de Polignac number, because 105311001142233 - 2⁶ = 105311001142169 is a prime.

It is a super-2 number, since 2×105311001142233² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105311001142197 and 105311001142206.

It is not an unprimeable number, because it can be changed into a prime (105311001142213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5850611174560 + ... + 5850611174577.

Almost surely, 2^{105311001142233} is an apocalyptic number.

It is an amenable number.

105311001142233 is a deficient number, since it is larger than the sum of its proper divisors (46804889396561).

105311001142233 is a wasteful number, since it uses less digits than its factorization.

105311001142233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11701222349143 (or 11701222349140 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 105311001142233 its reverse (332241100113501), we get a palindrome (437552101255734).

The spelling of 105311001142233 in words is "one hundred five trillion, three hundred eleven billion, one million, one hundred forty-two thousand, two hundred thirty-three".