1137193313 has 2 divisors, whose sum is σ = 1137193314. Its totient is φ = 1137193312.

The previous prime is 1137193279. The next prime is 1137193319. The reversal of 1137193313 is 3133917311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 694217104 + 442976209 = 26348^2 + 21047^2 .

It is a cyclic number.

It is not a de Polignac number, because 1137193313 - 2¹² = 1137189217 is a prime.

It is a super-2 number, since 2×1137193313² = 2586417262263831938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1137193313.

It is not a weakly prime, because it can be changed into another prime (1137193319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 568596656 + 568596657.

It is an arithmetic number, because the mean of its divisors is an integer number (568596657).

Almost surely, 2^1137193313 is an apocalyptic number.

It is an amenable number.

1137193313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1137193313 is an equidigital number, since it uses as much as digits as its factorization.

1137193313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5103, while the sum is 32.

The square root of 1137193313 is about 33722.2969709953. The cubic root of 1137193313 is about 1043.7859157063.

The spelling of 1137193313 in words is "one billion, one hundred thirty-seven million, one hundred ninety-three thousand, three hundred thirteen".