101312322033 has 16 divisors (see below), whose sum is σ = 147108648960. Its totient is φ = 61645524864.

The previous prime is 101312322019. The next prime is 101312322053. The reversal of 101312322033 is 330223213101.

It is not a de Polignac number, because 101312322033 - 2⁶ = 101312321969 is a prime.

It is a super-3 number, since 3×101312322033³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101312322053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14590641 + ... + 14597582.

It is an arithmetic number, because the mean of its divisors is an integer number (9194290560).

Almost surely, 2^101312322033 is an apocalyptic number.

101312322033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101312322033 is a deficient number, since it is larger than the sum of its proper divisors (45796326927).

101312322033 is a wasteful number, since it uses less digits than its factorization.

101312322033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29188328.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101312322033 its reverse (330223213101), we get a palindrome (431535535134).

The spelling of 101312322033 in words is "one hundred one billion, three hundred twelve million, three hundred twenty-two thousand, thirty-three".