103331213111993 has 2 divisors, whose sum is σ = 103331213111994. Its totient is φ = 103331213111992.

The previous prime is 103331213111963. The next prime is 103331213112109. The reversal of 103331213111993 is 399111312133301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60094170673849 + 43237042438144 = 7752043^2 + 6575488^2 .

It is a cyclic number.

It is not a de Polignac number, because 103331213111993 - 2⁴² = 98933166600889 is a prime.

It is a super-2 number, since 2×103331213111993² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103331213111993.

It is not a weakly prime, because it can be changed into another prime (103331213111963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51665606555996 + 51665606555997.

It is an arithmetic number, because the mean of its divisors is an integer number (51665606555997).

Almost surely, 2^{103331213111993} is an apocalyptic number.

It is an amenable number.

103331213111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103331213111993 is an equidigital number, since it uses as much as digits as its factorization.

103331213111993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 41.

The spelling of 103331213111993 in words is "one hundred three trillion, three hundred thirty-one billion, two hundred thirteen million, one hundred eleven thousand, nine hundred ninety-three".