31300010001 has 12 divisors (see below), whose sum is σ = 48688904628. Its totient is φ = 19261544544.

The previous prime is 31300009991. The next prime is 31300010011. The reversal of 31300010001 is 10001000313.

It is an interprime number because it is at equal distance from previous prime (31300009991) and next prime (31300010011).

It can be written as a sum of positive squares in 2 ways, for example, as 5655190401 + 25644819600 = 75201^2 + 160140^2 .

It is not a de Polignac number, because 31300010001 - 2¹⁹ = 31299485713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

31300010001 is a modest number, since divided by 10001 gives 313 as remainder.

It is not an unprimeable number, because it can be changed into a prime (31300010011) 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 11 ways as a sum of consecutive naturals, for example, 133760610 + ... + 133760843.

It is an arithmetic number, because the mean of its divisors is an integer number (4057408719).

Almost surely, 2^31300010001 is an apocalyptic number.

It is an amenable number.

31300010001 is a deficient number, since it is larger than the sum of its proper divisors (17388894627).

31300010001 is a wasteful number, since it uses less digits than its factorization.

31300010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267521472 (or 267521469 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 31300010001 its reverse (10001000313), we get a palindrome (41301010314).

The spelling of 31300010001 in words is "thirty-one billion, three hundred million, ten thousand, one".