101251488313 has 2 divisors, whose sum is σ = 101251488314. Its totient is φ = 101251488312.

The previous prime is 101251488287. The next prime is 101251488323. The reversal of 101251488313 is 313884152101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99308177424 + 1943310889 = 315132^2 + 44083^2 .

It is a cyclic number.

It is not a de Polignac number, because 101251488313 - 2⁹ = 101251487801 is a prime.

It is not a weakly prime, because it can be changed into another prime (101251488323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50625744156 + 50625744157.

It is an arithmetic number, because the mean of its divisors is an integer number (50625744157).

Almost surely, 2^101251488313 is an apocalyptic number.

It is an amenable number.

101251488313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101251488313 is an equidigital number, since it uses as much as digits as its factorization.

101251488313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 101251488313 in words is "one hundred one billion, two hundred fifty-one million, four hundred eighty-eight thousand, three hundred thirteen".