101332993 has 2 divisors, whose sum is σ = 101332994. Its totient is φ = 101332992.

The previous prime is 101332951. The next prime is 101332999. The reversal of 101332993 is 399233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94614529 + 6718464 = 9727^2 + 2592^2 .

It is a cyclic number.

It is not a de Polignac number, because 101332993 - 2¹³ = 101324801 is a prime.

It is not a weakly prime, because it can be changed into another prime (101332999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666496 + 50666497.

It is an arithmetic number, because the mean of its divisors is an integer number (50666497).

Almost surely, 2^101332993 is an apocalyptic number.

It is an amenable number.

101332993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332993 is an equidigital number, since it uses as much as digits as its factorization.

101332993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 101332993 is about 10066.4290093359. The cubic root of 101332993 is about 466.2121885448.

The spelling of 101332993 in words is "one hundred one million, three hundred thirty-two thousand, nine hundred ninety-three".