10131993 has 8 divisors (see below), whose sum is σ = 15010400. Its totient is φ = 6754644.

The previous prime is 10131973. The next prime is 10132013. The reversal of 10131993 is 39913101.

It is an interprime number because it is at equal distance from previous prime (10131973) and next prime (10132013).

It is not a de Polignac number, because 10131993 - 2⁹ = 10131481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 375259 = 10131993 / (1 + 0 + 1 + 3 + 1 + 9 + 9 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187603 + ... + 187656.

It is an arithmetic number, because the mean of its divisors is an integer number (1876300).

Almost surely, 2^10131993 is an apocalyptic number.

It is an amenable number.

10131993 is a deficient number, since it is larger than the sum of its proper divisors (4878407).

10131993 is an equidigital number, since it uses as much as digits as its factorization.

10131993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375268 (or 375262 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 10131993 is about 3183.0791696092. The cubic root of 10131993 is about 216.3872297693.

The spelling of 10131993 in words is "ten million, one hundred thirty-one thousand, nine hundred ninety-three".