101302032313 has 2 divisors, whose sum is σ = 101302032314. Its totient is φ = 101302032312.

The previous prime is 101302032229. The next prime is 101302032371. The reversal of 101302032313 is 313230203101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99157601449 + 2144430864 = 314893^2 + 46308^2 .

It is a cyclic number.

It is not a de Polignac number, because 101302032313 - 2²⁹ = 100765161401 is a prime.

It is a super-2 number, since 2×101302032313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101302032383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50651016156 + 50651016157.

It is an arithmetic number, because the mean of its divisors is an integer number (50651016157).

Almost surely, 2^101302032313 is an apocalyptic number.

It is an amenable number.

101302032313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101302032313 is an equidigital number, since it uses as much as digits as its factorization.

101302032313 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 19.

Adding to 101302032313 its reverse (313230203101), we get a palindrome (414532235414).

The spelling of 101302032313 in words is "one hundred one billion, three hundred two million, thirty-two thousand, three hundred thirteen".