100130110000031 has 8 divisors (see below), whose sum is σ = 100307308069104. Its totient is φ = 99953068400640.

The previous prime is 100130110000007. The next prime is 100130110000043. The reversal of 100130110000031 is 130000011031001.

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 not a de Polignac number, because 100130110000031 - 2¹⁸ = 100130109737887 is a prime.

It is a super-2 number, since 2×100130110000031² (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 = 100130109999967 and 100130110000021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130110000001) 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, 37836386 + ... + 40396191.

It is an arithmetic number, because the mean of its divisors is an integer number (12538413508638).

Almost surely, 2^{100130110000031} is an apocalyptic number.

100130110000031 is a deficient number, since it is larger than the sum of its proper divisors (177198069073).

100130110000031 is a wasteful number, since it uses less digits than its factorization.

100130110000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78234841.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100130110000031 its reverse (130000011031001), we get a palindrome (230130121031032).

The spelling of 100130110000031 in words is "one hundred trillion, one hundred thirty billion, one hundred ten million, thirty-one", and thus it is an aban number.