100313132321 has 2 divisors, whose sum is σ = 100313132322. Its totient is φ = 100313132320.

The previous prime is 100313132299. The next prime is 100313132411. The reversal of 100313132321 is 123231313001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80519737600 + 19793394721 = 283760^2 + 140689^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313132321 - 2¹⁴ = 100313115937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100313132293 and 100313132302.

It is not a weakly prime, because it can be changed into another prime (100313102321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156566160 + 50156566161.

It is an arithmetic number, because the mean of its divisors is an integer number (50156566161).

Almost surely, 2^100313132321 is an apocalyptic number.

It is an amenable number.

100313132321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313132321 is an equidigital number, since it uses as much as digits as its factorization.

100313132321 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 100313132321 its reverse (123231313001), we get a palindrome (223544445322).

The spelling of 100313132321 in words is "one hundred billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred twenty-one".