101023023210313 has 2 divisors, whose sum is σ = 101023023210314. Its totient is φ = 101023023210312.

The previous prime is 101023023210311. The next prime is 101023023210371. The reversal of 101023023210313 is 313012320320101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85574562425104 + 15448460785209 = 9250652^2 + 3930453^2 .

It is a cyclic number.

It is not a de Polignac number, because 101023023210313 - 2¹ = 101023023210311 is a prime.

It is a super-5 number, since 5×101023023210313⁵ (a number of 71 digits) contains 55555 as substring.

Together with 101023023210311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101023023210311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511511605156 + 50511511605157.

It is an arithmetic number, because the mean of its divisors is an integer number (50511511605157).

Almost surely, 2^{101023023210313} is an apocalyptic number.

It is an amenable number.

101023023210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101023023210313 is an equidigital number, since it uses as much as digits as its factorization.

101023023210313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101023023210313 its reverse (313012320320101), we get a palindrome (414035343530414).

The spelling of 101023023210313 in words is "one hundred one trillion, twenty-three billion, twenty-three million, two hundred ten thousand, three hundred thirteen".