101312032001033 has 6 divisors (see below), whose sum is σ = 117852771919626. Its totient is φ = 86838884572272.

The previous prime is 101312032001021. The next prime is 101312032001069. The reversal of 101312032001033 is 330100230213101.

It can be written as a sum of positive squares in only one way, i.e., 96818259499129 + 4493772501904 = 9839627^2 + 2119852^2 .

It is not a de Polignac number, because 101312032001033 - 2¹⁰ = 101312032000009 is a prime.

It is a super-2 number, since 2×101312032001033² (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 = 101312032000996 and 101312032001014.

It is not an unprimeable number, because it can be changed into a prime (101312032001083) 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, 1033796244860 + ... + 1033796244957.

It is an arithmetic number, because the mean of its divisors is an integer number (19642128653271).

Almost surely, 2^{101312032001033} is an apocalyptic number.

It is an amenable number.

101312032001033 is a deficient number, since it is larger than the sum of its proper divisors (16540739918593).

101312032001033 is an equidigital number, since it uses as much as digits as its factorization.

101312032001033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067592489831 (or 2067592489824 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101312032001033 its reverse (330100230213101), we get a palindrome (431412262214134).

The spelling of 101312032001033 in words is "one hundred one trillion, three hundred twelve billion, thirty-two million, one thousand, thirty-three".