1001013110957 has 2 divisors, whose sum is σ = 1001013110958. Its totient is φ = 1001013110956.

The previous prime is 1001013110947. The next prime is 1001013111019. The reversal of 1001013110957 is 7590113101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 980359397161 + 20653713796 = 990131^2 + 143714^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001013110957 - 2²⁴ = 1000996333741 is a prime.

It is a super-2 number, since 2×1001013110957² (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 (1001013110947) 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, 500506555478 + 500506555479.

It is an arithmetic number, because the mean of its divisors is an integer number (500506555479).

Almost surely, 2^{1001013110957} is an apocalyptic number.

It is an amenable number.

1001013110957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001013110957 is an equidigital number, since it uses as much as digits as its factorization.

1001013110957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 29.

Adding to 1001013110957 its reverse (7590113101001), we get a palindrome (8591126211958).

The spelling of 1001013110957 in words is "one trillion, one billion, thirteen million, one hundred ten thousand, nine hundred fifty-seven".