100313233121 has 2 divisors, whose sum is σ = 100313233122. Its totient is φ = 100313233120.

The previous prime is 100313233049. The next prime is 100313233127. The reversal of 100313233121 is 121332313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100251390625 + 61842496 = 316625^2 + 7864^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313233121 - 2¹⁴ = 100313216737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100313233093 and 100313233102.

It is not a weakly prime, because it can be changed into another prime (100313233127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156616560 + 50156616561.

It is an arithmetic number, because the mean of its divisors is an integer number (50156616561).

Almost surely, 2^100313233121 is an apocalyptic number.

It is an amenable number.

100313233121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313233121 is an equidigital number, since it uses as much as digits as its factorization.

100313233121 is an evil number, because the sum of its binary digits is even.

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

Adding to 100313233121 its reverse (121332313001), we get a palindrome (221645546122).

The spelling of 100313233121 in words is "one hundred billion, three hundred thirteen million, two hundred thirty-three thousand, one hundred twenty-one".