37113101 has 2 divisors, whose sum is σ = 37113102. Its totient is φ = 37113100.

The previous prime is 37113079. The next prime is 37113103. The reversal of 37113101 is 10131173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20702500 + 16410601 = 4550^2 + 4051^2 .

It is a cyclic number.

It is not a de Polignac number, because 37113101 - 2¹⁰ = 37112077 is a prime.

It is a super-3 number, since 3×37113101³ (a number of 24 digits) contains 333 as substring.

Together with 37113103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37113101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37113103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18556550 + 18556551.

It is an arithmetic number, because the mean of its divisors is an integer number (18556551).

Almost surely, 2^37113101 is an apocalyptic number.

It is an amenable number.

37113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

37113101 is an equidigital number, since it uses as much as digits as its factorization.

37113101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 37113101 is about 6092.0522814566. The cubic root of 37113101 is about 333.5613691856.

Adding to 37113101 its reverse (10131173), we get a palindrome (47244274).

The spelling of 37113101 in words is "thirty-seven million, one hundred thirteen thousand, one hundred one".