101131310033 has 16 divisors (see below), whose sum is σ = 111934527936. Its totient is φ = 90779209920.

The previous prime is 101131310029. The next prime is 101131310039. The reversal of 101131310033 is 330013131101.

It is a cyclic number.

It is not a de Polignac number, because 101131310033 - 2² = 101131310029 is a prime.

It is a super-2 number, since 2×101131310033² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101131309993 and 101131310020.

It is not an unprimeable number, because it can be changed into a prime (101131310039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271598 + ... + 525383.

It is an arithmetic number, because the mean of its divisors is an integer number (6995907996).

Almost surely, 2^101131310033 is an apocalyptic number.

101131310033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101131310033 is a deficient number, since it is larger than the sum of its proper divisors (10803217903).

101131310033 is a wasteful number, since it uses less digits than its factorization.

101131310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797264.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 101131310033 its reverse (330013131101), we get a palindrome (431144441134).

The spelling of 101131310033 in words is "one hundred one billion, one hundred thirty-one million, three hundred ten thousand, thirty-three".