100313201023031 has 2 divisors, whose sum is σ = 100313201023032. Its totient is φ = 100313201023030.

The previous prime is 100313201023001. The next prime is 100313201023069. The reversal of 100313201023031 is 130320102313001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100313201023031 - 2²² = 100313196828727 is a prime.

It is a super-2 number, since 2×100313201023031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100313201022994 and 100313201023012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100313201023001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156600511515 + 50156600511516.

It is an arithmetic number, because the mean of its divisors is an integer number (50156600511516).

Almost surely, 2^{100313201023031} is an apocalyptic number.

100313201023031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313201023031 is an equidigital number, since it uses as much as digits as its factorization.

100313201023031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100313201023031 its reverse (130320102313001), we get a palindrome (230633303336032).

The spelling of 100313201023031 in words is "one hundred trillion, three hundred thirteen billion, two hundred one million, twenty-three thousand, thirty-one".