10202032113 has 48 divisors (see below), whose sum is σ = 17256718080. Its totient is φ = 5313095424.

The previous prime is 10202032097. The next prime is 10202032117. The reversal of 10202032113 is 31123020201.

It is not a de Polignac number, because 10202032113 - 2⁴ = 10202032097 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10202032092 and 10202032101.

It is not an unprimeable number, because it can be changed into a prime (10202032117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117181 + ... + 184757.

It is an arithmetic number, because the mean of its divisors is an integer number (359514960).

Almost surely, 2^10202032113 is an apocalyptic number.

10202032113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10202032113 is a deficient number, since it is larger than the sum of its proper divisors (7054685967).

10202032113 is a wasteful number, since it uses less digits than its factorization.

10202032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67686 (or 67679 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10202032113 its reverse (31123020201), we get a palindrome (41325052314).

The spelling of 10202032113 in words is "ten billion, two hundred two million, thirty-two thousand, one hundred thirteen".