10131200313 has 16 divisors (see below), whose sum is σ = 14601060096. Its totient is φ = 6211572480.

The previous prime is 10131200309. The next prime is 10131200323. The reversal of 10131200313 is 31300213101.

It is not a de Polignac number, because 10131200313 - 2² = 10131200309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131200292 and 10131200301.

It is not an unprimeable number, because it can be changed into a prime (10131200323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468720 + ... + 489857.

It is an arithmetic number, because the mean of its divisors is an integer number (912566256).

Almost surely, 2^10131200313 is an apocalyptic number.

10131200313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10131200313 is a deficient number, since it is larger than the sum of its proper divisors (4469859783).

10131200313 is a wasteful number, since it uses less digits than its factorization.

10131200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958864.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10131200313 its reverse (31300213101), we get a palindrome (41431413414).

The spelling of 10131200313 in words is "ten billion, one hundred thirty-one million, two hundred thousand, three hundred thirteen".