10100122313 has 2 divisors, whose sum is σ = 10100122314. Its totient is φ = 10100122312.

The previous prime is 10100122309. The next prime is 10100122339. The reversal of 10100122313 is 31322100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8358896329 + 1741225984 = 91427^2 + 41728^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100122313 - 2² = 10100122309 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100122303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050061156 + 5050061157.

It is an arithmetic number, because the mean of its divisors is an integer number (5050061157).

Almost surely, 2^10100122313 is an apocalyptic number.

It is an amenable number.

10100122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100122313 is an equidigital number, since it uses as much as digits as its factorization.

10100122313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10100122313 its reverse (31322100101), we get a palindrome (41422222414).

The spelling of 10100122313 in words is "ten billion, one hundred million, one hundred twenty-two thousand, three hundred thirteen".