103101013001381 has 2 divisors, whose sum is σ = 103101013001382. Its totient is φ = 103101013001380.

The previous prime is 103101013001309. The next prime is 103101013001383. The reversal of 103101013001381 is 183100310101301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85117858172356 + 17983154829025 = 9225934^2 + 4240655^2 .

It is a cyclic number.

It is not a de Polignac number, because 103101013001381 - 2¹⁴ = 103101012984997 is a prime.

It is a super-2 number, since 2×103101013001381² (a number of 29 digits) contains 22 as substring.

Together with 103101013001383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103101013001383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51550506500690 + 51550506500691.

It is an arithmetic number, because the mean of its divisors is an integer number (51550506500691).

Almost surely, 2^{103101013001381} is an apocalyptic number.

It is an amenable number.

103101013001381 is a deficient number, since it is larger than the sum of its proper divisors (1).

103101013001381 is an equidigital number, since it uses as much as digits as its factorization.

103101013001381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 103101013001381 its reverse (183100310101301), we get a palindrome (286201323102682).

The spelling of 103101013001381 in words is "one hundred three trillion, one hundred one billion, thirteen million, one thousand, three hundred eighty-one".