100313031113233 has 2 divisors, whose sum is σ = 100313031113234. Its totient is φ = 100313031113232.

The previous prime is 100313031113093. The next prime is 100313031113249. The reversal of 100313031113233 is 332311130313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99650845305729 + 662185807504 = 9982527^2 + 813748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100313031113233 is a prime.

It is a super-2 number, since 2×100313031113233² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100313031113198 and 100313031113207.

It is not a weakly prime, because it can be changed into another prime (100313031113263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156515556616 + 50156515556617.

It is an arithmetic number, because the mean of its divisors is an integer number (50156515556617).

Almost surely, 2^{100313031113233} is an apocalyptic number.

It is an amenable number.

100313031113233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313031113233 is an equidigital number, since it uses as much as digits as its factorization.

100313031113233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 100313031113233 its reverse (332311130313001), we get a palindrome (432624161426234).

The spelling of 100313031113233 in words is "one hundred trillion, three hundred thirteen billion, thirty-one million, one hundred thirteen thousand, two hundred thirty-three".