93381138720013 has 2 divisors, whose sum is σ = 93381138720014. Its totient is φ = 93381138720012.

The previous prime is 93381138719971. The next prime is 93381138720109. The reversal of 93381138720013 is 31002783118339.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88493869065924 + 4887269654089 = 9407118^2 + 2210717^2 .

It is a cyclic number.

It is not a de Polignac number, because 93381138720013 - 2⁴⁵ = 58196766631181 is a prime.

It is a super-2 number, since 2×93381138720013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (93381138720613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46690569360006 + 46690569360007.

It is an arithmetic number, because the mean of its divisors is an integer number (46690569360007).

Almost surely, 2^{93381138720013} is an apocalyptic number.

It is an amenable number.

93381138720013 is a deficient number, since it is larger than the sum of its proper divisors (1).

93381138720013 is an equidigital number, since it uses as much as digits as its factorization.

93381138720013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 93381138720013 in words is "ninety-three trillion, three hundred eighty-one billion, one hundred thirty-eight million, seven hundred twenty thousand, thirteen".