1030101003131 has 2 divisors, whose sum is σ = 1030101003132. Its totient is φ = 1030101003130.

The previous prime is 1030101003049. The next prime is 1030101003137. The reversal of 1030101003131 is 1313001010301.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1030101003131 - 2³⁴ = 1012921133947 is a prime.

It is a super-2 number, since 2×1030101003131² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1030101003137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515050501565 + 515050501566.

It is an arithmetic number, because the mean of its divisors is an integer number (515050501566).

Almost surely, 2^{1030101003131} is an apocalyptic number.

1030101003131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030101003131 is an equidigital number, since it uses as much as digits as its factorization.

1030101003131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1030101003131 its reverse (1313001010301), we get a palindrome (2343102013432).

The spelling of 1030101003131 in words is "one trillion, thirty billion, one hundred one million, three thousand, one hundred thirty-one".