1382100993 has 48 divisors (see below), whose sum is σ = 2536375296. Its totient is φ = 705490560.

The previous prime is 1382100953. The next prime is 1382101013. The reversal of 1382100993 is 3990012831.

It is not a de Polignac number, because 1382100993 - 2⁸ = 1382100737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1382100913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1830 + ... + 52607.

It is an arithmetic number, because the mean of its divisors is an integer number (52841152).

Almost surely, 2^1382100993 is an apocalyptic number.

1382100993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1382100993 is a deficient number, since it is larger than the sum of its proper divisors (1154274303).

1382100993 is a wasteful number, since it uses less digits than its factorization.

1382100993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54494 (or 54491 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1382100993 is about 37176.6189022079. The cubic root of 1382100993 is about 1113.9009978664.

The spelling of 1382100993 in words is "one billion, three hundred eighty-two million, one hundred thousand, nine hundred ninety-three".