10132200013 has 8 divisors (see below), whose sum is σ = 10915430400. Its totient is φ = 9349516848.

The previous prime is 10132200011. The next prime is 10132200019. The reversal of 10132200013 is 31000223101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10132200013 - 2¹ = 10132200011 is a prime.

It is a super-2 number, since 2×10132200013² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10132199966 and 10132200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97933 + ... + 172786.

It is an arithmetic number, because the mean of its divisors is an integer number (1364428800).

Almost surely, 2^10132200013 is an apocalyptic number.

10132200013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10132200013 is a deficient number, since it is larger than the sum of its proper divisors (783230387).

10132200013 is a wasteful number, since it uses less digits than its factorization.

10132200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273611.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10132200013 its reverse (31000223101), we get a palindrome (41132423114).

The spelling of 10132200013 in words is "ten billion, one hundred thirty-two million, two hundred thousand, thirteen".