37131013001 has 2 divisors, whose sum is σ = 37131013002. Its totient is φ = 37131013000.

The previous prime is 37131012937. The next prime is 37131013013. The reversal of 37131013001 is 10031013173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19341855625 + 17789157376 = 139075^2 + 133376^2 .

It is an emirp because it is prime and its reverse (10031013173) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37131013001 - 2⁶ = 37131012937 is a prime.

It is not a weakly prime, because it can be changed into another prime (37131013021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18565506500 + 18565506501.

It is an arithmetic number, because the mean of its divisors is an integer number (18565506501).

Almost surely, 2^37131013001 is an apocalyptic number.

It is an amenable number.

37131013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

37131013001 is an equidigital number, since it uses as much as digits as its factorization.

37131013001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 20.

Adding to 37131013001 its reverse (10031013173), we get a palindrome (47162026174).

The spelling of 37131013001 in words is "thirty-seven billion, one hundred thirty-one million, thirteen thousand, one".