101201213332313 has 2 divisors, whose sum is σ = 101201213332314. Its totient is φ = 101201213332312.

The previous prime is 101201213332283. The next prime is 101201213332327. The reversal of 101201213332313 is 313233312102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77803125489664 + 23398087842649 = 8820608^2 + 4837157^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201213332313 - 2¹⁸ = 101201213070169 is a prime.

It is not a weakly prime, because it can be changed into another prime (101201213332343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600606666156 + 50600606666157.

It is an arithmetic number, because the mean of its divisors is an integer number (50600606666157).

Almost surely, 2^{101201213332313} is an apocalyptic number.

It is an amenable number.

101201213332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201213332313 is an equidigital number, since it uses as much as digits as its factorization.

101201213332313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 101201213332313 its reverse (313233312102101), we get a palindrome (414434525434414).

The spelling of 101201213332313 in words is "one hundred one trillion, two hundred one billion, two hundred thirteen million, three hundred thirty-two thousand, three hundred thirteen".