101373137 has 2 divisors, whose sum is σ = 101373138. Its totient is φ = 101373136.

The previous prime is 101373109. The next prime is 101373143. The reversal of 101373137 is 731373101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61481281 + 39891856 = 7841^2 + 6316^2 .

It is a cyclic number.

It is not a de Polignac number, because 101373137 - 2⁶ = 101373073 is a prime.

It is not a weakly prime, because it can be changed into another prime (101373157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50686568 + 50686569.

It is an arithmetic number, because the mean of its divisors is an integer number (50686569).

Almost surely, 2^101373137 is an apocalyptic number.

It is an amenable number.

101373137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101373137 is an equidigital number, since it uses as much as digits as its factorization.

101373137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1323, while the sum is 26.

The square root of 101373137 is about 10068.4227662529. The cubic root of 101373137 is about 466.2737451699.

The spelling of 101373137 in words is "one hundred one million, three hundred seventy-three thousand, one hundred thirty-seven".