100133011031 has 8 divisors (see below), whose sum is σ = 102725706384. Its totient is φ = 97570998720.

The previous prime is 100133010983. The next prime is 100133011169. The reversal of 100133011031 is 130110331001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100133011031 is a prime.

It is a super-2 number, since 2×100133011031² (a number of 23 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 = 100133010997 and 100133011015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133011931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7664150 + ... + 7677203.

It is an arithmetic number, because the mean of its divisors is an integer number (12840713298).

Almost surely, 2^100133011031 is an apocalyptic number.

100133011031 is a deficient number, since it is larger than the sum of its proper divisors (2592695353).

100133011031 is a wasteful number, since it uses less digits than its factorization.

100133011031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341521.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100133011031 its reverse (130110331001), we get a palindrome (230243342032).

The spelling of 100133011031 in words is "one hundred billion, one hundred thirty-three million, eleven thousand, thirty-one".