1023103013131 has 2 divisors, whose sum is σ = 1023103013132. Its totient is φ = 1023103013130.

The previous prime is 1023103013083. The next prime is 1023103013167. The reversal of 1023103013131 is 1313103013201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1023103013131 - 2²¹ = 1023100915979 is a prime.

It is a super-2 number, since 2×1023103013131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023103013099 and 1023103013108.

It is not a weakly prime, because it can be changed into another prime (1023103013731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511551506565 + 511551506566.

It is an arithmetic number, because the mean of its divisors is an integer number (511551506566).

Almost surely, 2^{1023103013131} is an apocalyptic number.

1023103013131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023103013131 is an equidigital number, since it uses as much as digits as its factorization.

1023103013131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1023103013131 its reverse (1313103013201), we get a palindrome (2336206026332).

The spelling of 1023103013131 in words is "one trillion, twenty-three billion, one hundred three million, thirteen thousand, one hundred thirty-one".