10131001157 has 2 divisors, whose sum is σ = 10131001158. Its totient is φ = 10131001156.

The previous prime is 10131001123. The next prime is 10131001163. The reversal of 10131001157 is 75110013101.

10131001157 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8268992356 + 1862008801 = 90934^2 + 43151^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131001157 - 2¹⁶ = 10130935621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131006157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065500578 + 5065500579.

It is an arithmetic number, because the mean of its divisors is an integer number (5065500579).

Almost surely, 2^10131001157 is an apocalyptic number.

It is an amenable number.

10131001157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131001157 is an equidigital number, since it uses as much as digits as its factorization.

10131001157 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 20.

Adding to 10131001157 its reverse (75110013101), we get a palindrome (85241014258).

The spelling of 10131001157 in words is "ten billion, one hundred thirty-one million, one thousand, one hundred fifty-seven".