1013102113381 has 2 divisors, whose sum is σ = 1013102113382. Its totient is φ = 1013102113380.

The previous prime is 1013102113307. The next prime is 1013102113423. The reversal of 1013102113381 is 1833112013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 949328692225 + 63773421156 = 974335^2 + 252534^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013102113381 - 2⁷ = 1013102113253 is a prime.

It is a super-2 number, since 2×1013102113381² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013102113301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506551056690 + 506551056691.

It is an arithmetic number, because the mean of its divisors is an integer number (506551056691).

Almost surely, 2^{1013102113381} is an apocalyptic number.

It is an amenable number.

1013102113381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013102113381 is an equidigital number, since it uses as much as digits as its factorization.

1013102113381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 1013102113381 its reverse (1833112013101), we get a palindrome (2846214126482).

The spelling of 1013102113381 in words is "one trillion, thirteen billion, one hundred two million, one hundred thirteen thousand, three hundred eighty-one".