10032200113 has 8 divisors (see below), whose sum is σ = 10812386088. Its totient is φ = 9253225344.

The previous prime is 10032200111. The next prime is 10032200131. The reversal of 10032200113 is 31100223001.

It can be written as a sum of positive squares in 4 ways, for example, as 1621109169 + 8411090944 = 40263^2 + 91712^2 .

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 10032200113 - 2¹ = 10032200111 is a prime.

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 = 10032200093 and 10032200102.

It is not an unprimeable number, because it can be changed into a prime (10032200111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285556 + ... + 318757.

It is an arithmetic number, because the mean of its divisors is an integer number (1351548261).

Almost surely, 2^10032200113 is an apocalyptic number.

10032200113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10032200113 is a deficient number, since it is larger than the sum of its proper divisors (780185975).

10032200113 is a wasteful number, since it uses less digits than its factorization.

10032200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605603.

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

Adding to 10032200113 its reverse (31100223001), we get a palindrome (41132423114).

The spelling of 10032200113 in words is "ten billion, thirty-two million, two hundred thousand, one hundred thirteen".