101112312033 has 12 divisors (see below), whose sum is σ = 146061835920. Its totient is φ = 67403261016.

The previous prime is 101112312023. The next prime is 101112312043. The reversal of 101112312033 is 330213211101.

It is an interprime number because it is at equal distance from previous prime (101112312023) and next prime (101112312043).

It is not a de Polignac number, because 101112312033 - 2²⁵ = 101078757601 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101112311997 and 101112312015.

It is not an unprimeable number, because it can be changed into a prime (101112312023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280591 + ... + 530052.

It is an arithmetic number, because the mean of its divisors is an integer number (12171819660).

Almost surely, 2^101112312033 is an apocalyptic number.

It is an amenable number.

101112312033 is a deficient number, since it is larger than the sum of its proper divisors (44949523887).

101112312033 is a wasteful number, since it uses less digits than its factorization.

101112312033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824508 (or 824505 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101112312033 its reverse (330213211101), we get a palindrome (431325523134).

The spelling of 101112312033 in words is "one hundred one billion, one hundred twelve million, three hundred twelve thousand, thirty-three".