103313022331829 has 2 divisors, whose sum is σ = 103313022331830. Its totient is φ = 103313022331828.

The previous prime is 103313022331817. The next prime is 103313022331891. The reversal of 103313022331829 is 928133220313301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99153339710929 + 4159682620900 = 9957577^2 + 2039530^2 .

It is an emirp because it is prime and its reverse (928133220313301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103313022331829 - 2¹² = 103313022327733 is a prime.

It is a super-4 number, since 4×103313022331829⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103313022331229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656511165914 + 51656511165915.

It is an arithmetic number, because the mean of its divisors is an integer number (51656511165915).

Almost surely, 2^{103313022331829} is an apocalyptic number.

It is an amenable number.

103313022331829 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313022331829 is an equidigital number, since it uses as much as digits as its factorization.

103313022331829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 103313022331829 in words is "one hundred three trillion, three hundred thirteen billion, twenty-two million, three hundred thirty-one thousand, eight hundred twenty-nine".