100385541323513 has 2 divisors, whose sum is σ = 100385541323514. Its totient is φ = 100385541323512.

The previous prime is 100385541323429. The next prime is 100385541323527. The reversal of 100385541323513 is 315323145583001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65459297038864 + 34926244284649 = 8090692^2 + 5909843^2 .

It is a cyclic number.

It is not a de Polignac number, because 100385541323513 - 2¹² = 100385541319417 is a prime.

It is a super-2 number, since 2×100385541323513² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100385541323533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50192770661756 + 50192770661757.

It is an arithmetic number, because the mean of its divisors is an integer number (50192770661757).

Almost surely, 2^{100385541323513} is an apocalyptic number.

It is an amenable number.

100385541323513 is a deficient number, since it is larger than the sum of its proper divisors (1).

100385541323513 is an equidigital number, since it uses as much as digits as its factorization.

100385541323513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 100385541323513 in words is "one hundred trillion, three hundred eighty-five billion, five hundred forty-one million, three hundred twenty-three thousand, five hundred thirteen".