100010103131011 has 8 divisors (see below), whose sum is σ = 101507459297024. Its totient is φ = 98512884261000.

The previous prime is 100010103130999. The next prime is 100010103131023. The reversal of 100010103131011 is 110131301010001.

It is an interprime number because it is at equal distance from previous prime (100010103130999) and next prime (100010103131023).

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 100010103131011 - 2¹¹ = 100010103128963 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010103130982 and 100010103131000.

It is not an unprimeable number, because it can be changed into a prime (100010103131111) 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, 32855775 + ... + 35770408.

It is an arithmetic number, because the mean of its divisors is an integer number (12688432412128).

Almost surely, 2^{100010103131011} is an apocalyptic number.

100010103131011 is a deficient number, since it is larger than the sum of its proper divisors (1497356166013).

100010103131011 is an equidigital number, since it uses as much as digits as its factorization.

100010103131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68648001.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100010103131011 its reverse (110131301010001), we get a palindrome (210141404141012).

The spelling of 100010103131011 in words is "one hundred trillion, ten billion, one hundred three million, one hundred thirty-one thousand, eleven".