1000013001157 has 2 divisors, whose sum is σ = 1000013001158. Its totient is φ = 1000013001156.

The previous prime is 1000013001137. The next prime is 1000013001223. The reversal of 1000013001157 is 7511003100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 535610277316 + 464402723841 = 731854^2 + 681471^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000013001157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000013001107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500006500578 + 500006500579.

It is an arithmetic number, because the mean of its divisors is an integer number (500006500579).

Almost surely, 2^{1000013001157} is an apocalyptic number.

It is an amenable number.

1000013001157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000013001157 is an equidigital number, since it uses as much as digits as its factorization.

1000013001157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 19.

Adding to 1000013001157 its reverse (7511003100001), we get a palindrome (8511016101158).

The spelling of 1000013001157 in words is "one trillion, thirteen million, one thousand, one hundred fifty-seven".